Go
here and download the " Linux (DEB - Ubuntu, Debian)" file and put it in a directory accessible from you Wubi. Navigate to the directory in a console/terminal and install it via command line with command that follows, because it is based on Ubuntu I'll assume you need to use "sudo" to gain administrative privileges which is usually required for installing applications in a Linux system:
Code:
sudo dpkg -i LimeWireLinux.deb
Normally, limewire and or frostwire (same application), requires java-1.42 minimum and will not start up without it. If there is no shortcut via the main menu to start it, you should be able to start it via command line by just typing "limewire".