You can try these fixes...
Try uninstalling all versions of Java from the add/remove programs and then use
Crap Cleaner to clean the registry.
Try updating to the latest version of Java here
Java SE Downloads
If the latest update gives you any problems, try this older version, which has worked well for lots of people:
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11 Whichever Java version you use, download the JRE offline installer & remove any other Java versions (via Add/Remove Programs) before installing another one.
If that does not help with your problem try deleting your preference folder/s...This will reset your configurations back to default and get rid of any corruption that may of happened...
Fixes for Limewire when LW isn't operating as it should LimeWire Pref Folder in Vista
If none of the above fix your problem you will need to start fresh using the offline installers for both Limewire and Java...
Limewire offline installer:
http://www9.limewire.com/download/LimeWireWin-full.exe