Is CCleaner for Windows 7 64-bit compatible with Apple Mac Boot Camp?

Could Piriform declare this (yea or nay) in the product page documentation?

Isn't boot camp just a fancy name for dual boot? If so than shouldn't anything that runs on the Windows OS run on the Windows boot?

Nergal is correct. Bootcamp just makes Windows easier to install - doesn't functionally change it in any way.