To download the java program go here and download
http://java.sun.com/j2se/1.4.1/download.html
go here to learn how to install
http://java.sun.com/j2se/1.4.1/install-linux.html
open a shell
then install lime wire by going to the directory you have the .bin file in then typing
sh ./LimeWireLinux.bin
it will then install. To then access the file open a shell, locate the limewire directory, then type
java -jar LimeWire.jar
and poof it works
in my case it was
:~/Limewire> java -jar LimeWire.jar
If i can do it anyone can, i know absolutly zip about linux
hope this helps