1. Try deleting your LW Preferences folder whilst LW is closed; instructions here:
Fixes for Limewire
2. Perhaps the Java version you have doesn't do well with your system. You could remove your Java (use the Add/Remove Programs control panel) & then install Java 1.4.2 (see above link for links to Java) But downld & save the java to your comp. before installing. Don't install over the net. Either that or re-install 1.5 but as suggested, install it from your comp., & not over the net.
3. Step 4 of the above fixes sometimes fixes issues.
4. Make sure your problem is not due to corrupt shortcuts by going directly to the LW program folder & trying to open LW from there. If it opens then you'll need to delete & recreate your shortcuts.
* Jesman886 if the above doesn't work, you might need to re-install LW.