CCleaner is not deleting Google Chrome History? There are a few workarounds to fix the problem. There is not a problem with CCleaner, it's because Google Chrome is cloud based.
#1) Chrome is synced to your Google account. Therefore all browsing information is stored there and won't be cleaned. You can either disable History from the Chrome sync settings, or stop syncing. Go to Menu, Settings, Sign in. This will fix the problem most of the time.
There is another workaround, if for some reason the above does not work.
#2) When a process associated with Google Chrome is running during the cleaning operation. All internet browsers need to be closed in order for them to be cleaned properly by CCleaner.
*There is a setting in Chrome that allows background applications to run after Chrome has already been closed. Go to Menu, Settings, Show advanced settings... uncheck "Continue running background apps when Google Chrome is closed".
Hopefully this will fix the problem!