Which version of Java are you using? Try updating or reinstalling (if you're already using the latest) Java. Use the link here:
Java SE Downloads - Sun Developer Network (SDN)
Download the JRE offline installer. Remove any other Java versions installed via Add/Remove Programs. Install the update. Restart your computer.
Is 5.3.6 the only LW version to cause problems?
See whether the LW Beta causes the same problem. There's a link to the free version here:
LimeWire 5.4.1 (Beta) - Lime Wire
Pro users can download from their personal download page.