I just got Eve up and running in Mint 12 using the CrossTie. I have to run it in windowed mode because of my dual monitors, but it seemed to work fine at first; even with sound.
After about 30 minutes of sitting in a station the sound stopped working and whenever I go to the sound settings to enable/disable sound, the game freezes and I have to force quit.
Update: Rebooting my computer appears to temporarily fix the sound, but after about 15 - 30 min the sound stops again. Also, restarting the game client doesn't fix it.