While searching the internet, I came across SRWare's Iron Browser, a Chrome clone without privacy issues.
Although CCleaner recognizes Google Chrome automatically, it did not recognize Iron Browser.
I had to search more for some instructions as to how to manually configure CCleaner which worked.
It would be nice if the developers of CCleaner could incorporate automatic recognition of the Iron Browser as well.
More info can be found here:
http://www.srware.net/en/software_srware_iron.php
http://en.kioskea.net/faq/sujet-3892-add-i...ron-to-ccleaner