CAN I RECOVER DELETED FILES AFTER RUNNING CLEANER?
More information is needed from you (as well as turning off your caps-lock as it is considered, by the vast majority of the internet, to be the typed version of shouting)
However a short answer will be:
Given infinite time, money and effort anything, on a non-physically destroyed Hard Drive, is recoverable.
and @Nergal touches on the very important point, "physical destruction".
the very data you are trying to recover is on the same drive you would run CCleaner on, plus ALL the other things you, and the system, are doing.
including, and not limited to, web surfing, pagefile, restore points, updates, AV software, scheduled tasks, file changes, index files, prefetching, temp files - the list goes on.
Number 1 rule in data recovery, stop using the storage medium as soon as possible. This prevents compounding the already difficult task of recovering data.
Number 2 rule, image said medium as soon as possible. This provides a backup of the current state as a safety net to fall back on.