Clockwise, which surprised me as I've always figured I was more left-brained, if there even is such a thing, as I seem to recall a neuropsych professor in college who insisted there's not.
She started going counter-clockwise when I turned my laptop to show it to my 9yo dd. Incidentally, dd also says clockwise, which is less surprising because she is very creative, but also rather analytical like her dear old mum.
ETA: Some quick research (does that prove I'm really left-brained?) suggests this may have something to do with the fact that information from the left side of your field of vision gets processed in the right side of your brain and vice versa, which evidently is why she changes direction when I turn and look at the screen from the side. Interesting stuff.