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Given the recent changes to voting that allow users to retract their own votes, I think the next logical step is to consider implementing this feature.

Generally speaking, I see 3 cases where one might want to change a voting reason

1. Mis-click - typos happen and a user clicks the wrong radio button before clicking "close" (as the example in the question shows)
2. Misreading of the question - you see this happen frequently, someone reads the question one way, votes to close, and then rereads a question and sees the original reason is not applicable, but another reason is better.
3. The question changes - through comments and editing, the OP changes the question so the original reason isn't valid, but a different reason is more applicable

The 3rd point is the main reason why I think this feature would be valuable, and a big reason why is because of all of the effort that has been put into revamping the close system in the recent months. We wanted the close/on-hold reasons to provide as much useful information to the OP as possible, but how useful is it when the reason is wrong?

Ideally, the close reason would be dynamic and allow someone to change their reason up to the point that the question gets reopened, to allow for editing that doesn't quite fix the post but changes the reason why it is closed. But at a minimum, at least allow a close voter to change his vote up until the question is closed.

This feature would work very nicely alongside Notify close voters when a closed question gets edited so the close voter gets notified of edits so they can revisit their close reason.

Given the recent changes to voting that allow users to retract their own votes, I think the next logical step is to consider implementing this feature.

Generally speaking, I see 3 cases where one might want to change a voting reason

1. Mis-click - typos happen and a user clicks the wrong radio button before clicking "close" (as the example in the question shows)
2. Misreading of the question - you see this happen frequently, someone reads the question one way, votes to close, and then rereads a question and sees the original reason is not applicable, but another reason is better.
3. The question changes - through comments and editing, the OP changes the question so the original reason isn't valid, but a different reason is more applicable

The 3rd point is the main reason why I think this feature would be valuable, and a big reason why is because of all of the effort that has been put into revamping the close system in the recent months. We wanted the close/on-hold reasons to provide as much useful information to the OP as possible, but how useful is it when the reason is wrong?

Ideally, the close reason would be dynamic and allow someone to change their reason up to the point that the question gets reopened, to allow for editing that doesn't quite fix the post but changes the reason why it is closed. But at a minimum, at least allow close voters to change their vote up until the question is closed.

This feature would work very nicely alongside Notify close voters when a closed question gets edited so the close voter gets notified of edits so they can revisit their close reason.

Given the recent changes to voting that allow users to retract their own votes, I think the next logical step is to consider implementing this feature.

Generally speaking, I see 3 cases where one might want to change a voting reason

1. Mis-click - typos happen and a user clicks the wrong radio button before clicking "close" (as the example in the question shows)
2. Misreading of the question - you see this happen frequently, someone reads the question one way, votes to close, and then rereads a question and sees the original reason is not applicable, but another reason is better.
3. The question changes - through comments and editing, the OP changes the question so the original reason isn't valid, but a different reason is more applicable

The 3rd point is the main reason why I think this feature would be valuable, and a big reason why is because of all of the effort that has been put into revamping the close system in the recent months. We wanted the close/on-hold reasons to provide as much useful information to the OP as possible, but how useful is it when the reason is wrong?

Ideally, the close reason would be dynamic and allow someone to change their reason up to the point that the question gets reopened, to allow for editing that doesn't quite fix the post but changes the reason why it is closed. But at a minimum, at least allow a close voter to change his vote up until the question is closed.

This feature would work very nicely alongside Notify close voters when a closed question gets edited so the close voter gets notified of edits so they can revisit their close reason.

Given the recent changes to voting that allow users to retract their own votes, I think the next logical step is to consider implementing this feature.

Generally speaking, I see 3 cases where one might want to change a voting reason

1. Mis-click - typos happen and a user clicks the wrong radio button before clicking "close" (as the example in the question shows)
2. Misreading of the question - you see this happen frequently, someone reads the question one way, votes to close, and then rereads a question and sees the original reason is not applicable, but another reason is better.
3. The question changes - through comments and editing, the OP changes the question so the original reason isn't valid, but a different reason is more applicable

The 3rd point is the main reason why I think this feature would be valuable, and a big reason why is because of all of the effort that has been put into revamping the close system in the recent months. We wanted the close/on-hold reasons to provide as much useful information to the OP as possible, but how useful is it when the reason is wrong?

Ideally, the close reason would be dynamic and allow someone to change their reason up to the point that the question gets reopened, to allow for editing that doesn't quite fix the post but changes the reason why it is closed. But at a minimum, at least allow a close voter to change his vote up until the question is closed.

This feature would work very nicely alongside Notify close voters when a closed question gets edited so the close voter gets notified of edits so they can revisit their close reason.

Given the recent changes to voting that allow users to retract their own votes, I think the next logical step is to consider implementing this feature.

Generally speaking, I see 3 cases where one might want to change a voting reason

1. Mis-click - typos happen and a user clicks the wrong radio button before clicking "close" (as the example in the question shows)
2. Misreading of the question - you see this happen frequently, someone reads the question one way, votes to close, and then rereads a question and sees the original reason is not applicable, but another reason is better.
3. The question changes - through comments and editing, the OP changes the question so the original reason isn't valid, but a different reason is more applicable

The 3rd point is the main reason why I think this feature would be valuable, and a big reason why is because of all of the effort that has been put into revamping the close system in the recent months. We wanted the close/on-hold reasons to provide as much useful information to the OP as possible, but how useful is it when the reason is wrong?

Ideally, the close reason would be dynamic and allow someone to change their reason up to the point that the question gets reopened, to allow for editing that doesn't quite fix the post but changes the reason why it is closed. But at a minimum, at least allow a close voter to change his vote up until the question is closed.

This feature would work very nicely alongside http://meta.stackoverflow.com/q/56849/182513 so the close voter gets notified of edits so they can revisit their close reason.

Given the recent changes to voting that allow users to retract their own votes, I think the next logical step is to consider implementing this feature.

Generally speaking, I see 3 cases where one might want to change a voting reason

1. Mis-click - typos happen and a user clicks the wrong radio button before clicking "close" (as the example in the question shows)
2. Misreading of the question - you see this happen frequently, someone reads the question one way, votes to close, and then rereads a question and sees the original reason is not applicable, but another reason is better.
3. The question changes - through comments and editing, the OP changes the question so the original reason isn't valid, but a different reason is more applicable

The 3rd point is the main reason why I think this feature would be valuable, and a big reason why is because of all of the effort that has been put into revamping the close system in the recent months. We wanted the close/on-hold reasons to provide as much useful information to the OP as possible, but how useful is it when the reason is wrong?

Ideally, the close reason would be dynamic and allow someone to change their reason up to the point that the question gets reopened, to allow for editing that doesn't quite fix the post but changes the reason why it is closed. But at a minimum, at least allow a close voter to change his vote up until the question is closed.

This feature would work very nicely alongside Notify close voters when a closed question gets edited so the close voter gets notified of edits so they can revisit their close reason.