Sounds like a hardware driver incompatibility with Java. Make sure all your drivers are up to date. And check for reports for bugs with present version drivers. Also, if you have a utility called Alcohol, remove it. It can clash with LW.
Other things to try: Steps 1 - 6 here
Fixes for Limewire (click on blue link)
After deleting your LW prefs & starting up, under LW's menu bar, Tools > Options > Advanced > System startup disable that option & under Performance, disable all those options for time being, if you are able to get to those options before problems. OH & System Tray/Shutdown option set to close LW immediately.