I noticed an issue recently when cleaning up a deleted answer in a question:
The activity on the question updated, moving it to the highest position on the "Active Questions" tab.
After I noticed this the first time, I tested it again. It definitely popped up once more with the activity label modified by VoteToClose 4 secs ago
(see images below).
It goes without saying that this is a problem that should probably be addressed, as question askers can silently move their questions to the top of the activity page and users editing their answers after they're removed may cause problems.
These screenshots were taken in the space of five seconds.