You don't happen to have Alcohol 120% installed too, do you? I had Limewire, Azureus, and Alcohol installed, and haven't used Azureus in a long time, but for quite some time, Limewire closes just after it gets to the GUI page. Then I wanted to use the new Azureus, and it did the same thing. Their help wiki suggested removing Alcohol. The instant I uninstalled Alcohol 120%, both Azureus and Limewire started running just fine.