I heard the newest Catalyst driver (11.6) is causing those problems. You could try rolling back.
I use Nvidia
Anyway, I opened up the case and everything was covered in dust. No idea how that happened. I don't have any cleaner left, so I cleaned up what I could reach, and I'll go back and get the rest tomorrow. Hope this is really the problem. If it's not, it doesn't matter. I needed to do it anyway.
Edit: Surprise! That did... absolutely nothing.