The OpenSource successor to LimeWire is FrostWire. It was built with free components. This Gnutella client has just been also released for Linux. There are other clones of FrostWire available such as MellonWire and others, which offer different feature sets. FrostWire is a very fast Gnutella client getting great search results. It has no spyware or viruses. It asks to install the Ask Search Bar, but that is all. It is a great program and my new favorite Gnutella client. Below is my current desktop and a screenshot of FrostWire for Linux running and a link where to get it. The lines between Windows and Linux are seeing some overlap. This is a good thing.
Softpedia has a review and the download link: