None whatsoever, in my experience - upgraded from 8.1 to 10 in August, Audacity works fine (they put out a new version for Win 10 shortly after 10 was released, but the old version worked fine with 10 on my laptop).

However, I'm aware that Joe has had a problem with Audacity, something to do with not recognising his sound-card I believe. No doubt he'l be along to clarify.