"That's a Lion "feature". Right click on the ableton icon and you can make it show in "any desktop", "this desktop", or "all desktops" (or something similarly worded; I'm not on my mac at the mo). You've got "all desktops" turned on so live will follow you around all of them. set it to one of the other settings and it'll stop doing that.
So it's not a bug. It's a little known feature of Lion."
Hey...thanks for that...I buzz around a lot of desktops at times using Lion/Live with gestures/shortcuts, just tried it, seriously cool feature and very useful.I'll use that on other stuff now as well.