Bishop takes kit to prison (4)
I believe the answer is:
brig
'to prison' is the definition.
(I've seen this before)
'bishop takes kit' is the wordplay.
'bishop' becomes 'B' (abbreviation for bishop in chess).
'takes' is a charade indicator (letters next to each other).
'kit' becomes 'rig' (I've seen this in other clues).
'b'+'rig'='BRIG'
(Other definitions for brig that I've seen before include "senior officer briefly used" , "Two-master; army officer (abbr.)" , "Two-masted square-rigged sailing ship" , "Sailing-vessel" , "Ship; a ship's jail" .)