Chrome Private Mode Not Quite Private
wiplash writes "Google Chrome appears to store at least some information related to, and including, the sites that you have visited when browsing in Incognito mode. Lewis Thompson outlines a set of steps you can follow to confirm whether you are affected. He has apparently reported this to Google, but no response has yet been received."
Google is addicted to your information, and will do whatever they can to get more.
They cannot help themselves.
Resist.