Just an old fool’s bit of fun! (4)
I believe the answer is:
jest
'fun' is the definition.
(thesaurus)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for jest that I've seen before include "Humorous remark" , "In ____, playfully" , "it's not serious, so to speak" , "Sally" , "Jape, witticism" .)