Chafe that could be produced by a beard (6)
I believe the answer is:
abrade
'chafe' is the definition.
(thesaurus)
'produced by a beard' is the wordplay.
'produced' indicates an anagram.
'by' is a charade indicator (letters next to each other).
'a' after 'beard' is 'bearda'.
'bearda' is an anagram of 'ABRADE'.
'that could be' is the link.
(Other definitions for abrade that I've seen before include "Scratch" , "Shave" , "Wear away by friction" , "Day breaks? > Start as before" , "Wear away by rubbing, scrape" .)