Search bishop held by his supporters? (6)
I believe the answer is:
ferret
'search' is the definition.
(ferreting is a kind of searching)
'bishop held by his supporters?' is the wordplay.
'bishop' becomes 'rr' (abbreviation for Right Reverend).
'held by' is an insertion indicator.
'his supporters?' becomes 'feet' (someone's feet support him on the ground).
'rr' put within 'feet' is 'FERRET'.
(Other definitions for ferret that I've seen before include "Weasel-like animal" , "Small member of weasel family, good for catching rabbits" , "Animal to hunt rats and rabbits" , "Animal bred for hunting rats and rabbits" , "Small fierce animal, rabit hunter" .)