The dump you've provided does not show a faulting driver
name. The reason it's BSOD'ing when using it is probably because when you click fix or clean, whatever it may be, it's most likely deleting an important registry file to a program that is running at the time, or an important registry file in general.
Regardless, I would never recommend using a registry cleaner, especially CCleaner's registry cleaner unless you're having issues with a specific registry file and you're 100% sure you're removing the correct file and just in general know what you're doing.
If you ask me, registry cleaners do more harm than good! Just don't use one, you don't need to.