Here's what works for me:
Open the Konsole (Pardus>Programs>Sysytem>Konsole) and type (or copy/paste):
sudo pisi it http://paketler.pardus.org.tr/contrib-2007/limewire-4.12.6-2-2.pisi
Hit Enter and you will be asked for your password. Type it, hit Enter again, and Limewire should be downloaded and installed. It can be found on the 'Internet' menu.