limewire comes ABSOLUTELY free of that crapware, if you dont want to install it, you can always download the source code and build it yourself, atleast thats peace of mind if you dont believe the folks at limewire.
there is no EULA, well technically there is, but its called the GNU GPL (
WWW.GNU.ORG) which is a license for free and open source software.
[edited the gnu link: the tld is .org instead of .com like i had it before.]