Note: This answer is written to answer the question more generally, without much reference to the specifics of what the comments the asker made were. For a more context-sensitive answer, see Robert's answer
In general, if an answer requires a lot of clarification, that might be a symptom of it being unclear, and (by extension,) a not-very-useful answer. "Not-useful" is a downvote reason (hover your mouse over the downvote button and see for yourself). Of course- if the answer as a net-whole is useful to you, don't downvote it. Perhaps what you feel as a need to comment actually indicates an area for you to do further research on your own to understand what the answerer wrote. I don't know. (I say "in general"- but I see from your screenshot that the posts are on the codereview site, which I don't know if is a special case (I don't frequent that site)).
I think whether it's suitable to use comments for long clarifications can be a bit of a judgement call. If you're using them for the intended purpose of comments ("Request clarification from the author;
Leave constructive criticism that guides the author in improving the post;
[...]"), then it may still be okay as long as there isn't much back and forth going on. Once those clarifications / improvements have been to the answer, you should delete your comments and flag any reply comments the answerer made as being "no longer needed" where appropriate.
If there is a lot of back and forth, or you anticipate that there may be, don't use comments. Use chat. Comments are not meant for extended discussion; chat is. From the screenshot and from your profile page, I see that both you and the answerer have the privilege to access chat. So you could try inviting that user to a new chatroom. Be aware that- same as pretty much anywhere else on the internet- whether that other user wants to engage with you in discussion is up to them. Be respectful of them and don't pester them if they don't respond.