You shouldn't get spyware from Limewire! You might be getting it from a file you downloaded through Limewire(Maybe)? Or you have a trojen/cookie that attached itself to LimeWire. Also it is not a good idea if a person downloads Limewire from an untrusted source, because this source can add any program along with Limewire and then both would be installed.

I suggest trying Lavasoft Ad-Aware SE Personal from:
http://www.lavasoftusa.com/software/adaware/

Iv'e been using AD-Aware for years now and it works perfect. It has very good reviews. Also everybody that I know uses it and they just love it! The Personal adition is also freeware so it won't cost you anything.

Cheers