How soon after you open LW does it close down?
Try deleting your LW Preferences folder whilst LW is closed; instructions here:
Fixes for Limewire And if this doesn't work, try the other options such as changing LW compatibility to win 2k. If that doesn't do it then uninstall Java & downld the installer to your comp., & then reinstall (after uninstalling Java.) If that doesn't work, uninstall java again & install Java 1.4.2 instead. Link in the above link.
Fingers crossed!