Go here and download the offline installer of LW:
http://www.limewire.com/
Prior to installing it, make sure that you have updated your Java installation. Follow this procedure:
Uninstall all Java versions on your system. Reboot and then download the JRE offline installer of the newest Java version from here:
http://java.sun.com/j2se/1.5.0/download.jsp
Install it and reboot again, then install LW.

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"Never Argue With An Idiot. They Will Drag You Down To Their Level, Then Beat You With Experience"