I am a PhD student in mathematics going into graph theory. I hope to either do a post-doc or (hopefully!) get a tenure-track position at a research-oriented university after graduation. I don't have a super high Math SE reputation, but it has been steadily increasing from answering questions. (I have only asked a few, but I answer a lot.)
While I don't think it would be a good idea to put my Math SE reputation on a CV (or am I wrong?) I could potentially see myself mentioning SE at an interview. While I know answering questions on Math SE isn't anything like publishing original research, I think it shows a dedication to mathematics and teaching.
What I want to know (hopefully from people who do interviews, but all answers are welcome) is if something like that would ever make a difference. (Especially if it would be frowned upon similar to having trivial papers on your CV.)
Note: answering questions on Math SE is something I do in my leisure time or times when I cannot work on my course work/research such as while I am on my daily bus ride to campus, so I don't need to see answers that say "spending the time studying/researching would be a better use of your time".
My main concern is in an interview setting. Only if you have reason to believe that it would be good to put on a CV am I interested in that as I already had a feeling that it would not be well suited for a CV.