Adaware is a "spyware" finder and remower, and that spyware is mostly "cookies" set on your PC and is to find in temporary internet cache folder.
Most of those cookies is "kind" progs who recall what adverts you could see when visiting a site and try to adjust the advertflow in the direction that suit the type of sites you visit, and try to avoid adverts who are not in your interest.
Others remember your settings at a site 'till the next time you visit etc.
I don't have paranoia because of it, just keeping in mind where to visit or not, and as long as the conscience is clean, there is nothing much to be afraid of.
"Big Brother" know all that there is worth knowing about me anyway, regardless of if I like it or not, so what more is there to spy at??
GJ