I am not sure, but I think there is a library of legacy Adwcleaner installations for older software if the new ones do not work. I just looked at compatibilities for the newest version, it appears that it should work with WinXP. What issues are you experiencing?
Also avoid the link above, not only it is Russian, but also illegitimate.
Edit: Interestingly enough it isn't. Not sure where I loo...