Yes, a couple year ago, on Farmville and a couple others games, I forget what kind. Not anymore. I don't play the Facebook games anymore.
I just play online Monopoly from Pogo, or occassionally Bad Toys 3D. I wish I could play Taco Bell Tasty Tempe Challnge but appearently, it only works on Windows XP, or earlier. It has a weird DOS file, I think a WPS file, if I remember correclty, won't work in Windows 7, and of course, won't work on Linux.
I've heard that there was a an app to play DOS games on Linux, but I couldn't get it to work. DOSBox, or something like that.