Light meal eaten by a bishop and judge (7)
I believe the answer is:
arbiter
'judge' is the definition.
(thesaurus)
'light meal eaten by a bishop' is the wordplay.
'light meal' becomes 'bite' (I've seen this before).
'eaten by' is an insertion indicator.
'bishop' becomes 'rr' (abbreviation for Right Reverend).
'a'+'rr'='arr'
'bite' inserted within 'arr' is 'ARBITER'.
'and' is the link.
(Other definitions for arbiter that I've seen before include "Judge to decide a disputed issue" , "Settler of disputes" , "Ref" , "Someone with the power to settle the matter" , "Judge, umpire" .)