Cleric cut daughter going to centre (5)
I believe the answer is:
padre
'cleric' is the definition.
(thesaurus)
'cut daughter going to centre' is the wordplay.
'cut' becomes 'pare' (I've seen this before).
'daughter' becomes 'd'.
'going to centre' is an insertion indicator.
'pare' placed around 'd' is 'PADRE'.
(Other definitions for padre that I've seen before include "non-combatant officer" , "clerical worker" , "Minister" , "Cleric" , "Services' chaplain" .)