Remove your current version of Java & reinstall the JRE using the offline installer here
http://java.sun.com/javase/downloads/index.jsp

Now try reinstalling LW using it's offline installer, it should uninstall any old version before reinstalling the new one
http://www.limewire.com/english/content/download.shtml

If that doesn't work, you might have to delete all old LW files manually & then reinstall the new LW version.
How did you uninstall the old version? If you did it via add/remove programs, it can cause problems! The right way to go is start > all programs > LW > now use the uninstall option.

See how that goes & let us know if you're still stuck