I've tried this with Ubuntu 10.10 64 bit machine, Crossover 10.1 version. Installs without a problem. It opens but gives error somehow. So I've managed a workaround so it worked(look at Tips & Tricks).
Anime Studio 8 is so far bes version ever. More stable, more advanced. Tracing option is great cause importing illustrator files is always buggy with ASP.
I've tested simple drawing, move bones, rendering & both worked. But it runs very slow so I can't suggest u to use.
Smith Micro stopped release new Linux versions of Anime Studio. That means there is no Anime Studio 7 or 8 for Linux for now.