I cannot open CC Cleaner from the desktop shortcut.
Windows version?
CC version?
what the error message?
let's start here;
uninstall your current version first.
then go into the Program Files folder for CC and delete its contents (keep the .ini file if you have customised settings).
download the latest build from here; https://www.piriform.com/ccleaner/builds
reboot the PC
install CC from your downloaded file.
if no luck, try the install with the PC in Safe Mode.
and try the Slim or Portable builds to see if they work.