University dons rage about quibble (5)
I believe the answer is:
argue
'quibble' is the definition.
(I've seen this in another clue)
'university dons rage about' is the wordplay.
'university' becomes 'u' (abbreviation for university).
'dons' means one lot of letters goes inside another (don means to wear or put on).
'about' indicates an anagram.
'rage' with letters rearranged gives 'arge'.
'u' placed within 'arge' is 'ARGUE'.
(Other definitions for argue that I've seen before include "Exchange heated views" , "Dispute, express angry words" , "Make a case" , "Dispute, disagree" , "Bandy words" .)