Ok! I finally figured it out!
First, you need to make sure that you enable 'Universe' and 'Multiverse'.
Update and then open up 'Synaptic'. You will find the java files needed for limewire there. (at least I did)
After java is installed, go here
http://easylinux.info/wiki/Ubuntu#Ho....28LimeWire.29 and follow the instructions.
It was actually very simple! Just be sure to enter the run commands in the text files that the terminal will pull up during the installation correctly!
I ran into a bit of a headache because I typed them in instead of pasting them in.
I did not capatalize ONE letter that SHOULD have been capatalized and Limewire would not install and did not give me any errors or any clues about what the problem was!
Good Luck!