Well, thanks to TwistedMetal, Andavari and hazelnut. Unfortunately, Andavari and hazelnut told me how to solve a problem with Edge, but my problem is with Chrome. I had already fixed the problem with Edge by preventing Edge background ops (as hazelnut suggested), but I was hoping there was some similarly simple way to fix the Chrome problem. Unles someone else adds something I guess I'll have to live with it, like TwistedMetal.
Are there any other Chrome users reading this that don't experience this behavior with CCleaner? If so, I'd like to hear from you so that I'll know it's not a universal problem, but possibly related to some setting I can change. Thanks to all.