Exactly what does the Windows error say?
Try removing your version of Java & reinstalling the JRE using the offline installer
http://java.sun.com/javase/downloads/index.jsp

Then reinstall LW & use it's offline installer
http://www.limewire.com/english/content/download.shtml

Are you using any antispyware? Some will see LW as a threat. If so, try disabling any antispy & see if LW will run more than once! You might need to add LW to the list of exceptions/allowed apps.