Crook, object given to bishop (4)
I believe the answer is:
bend
'crook' is the definition.
('bend' can be a synonym of 'crook')
'object given to bishop' is the wordplay.
'object' becomes 'end' (I've seen this in other clues**).
'given to' means one lot of letters go next to another.
'bishop' becomes 'b' (abbreviation used in chess).
'end' after 'b' is 'BEND'.
(Other definitions for bend that I've seen before include "Dish of raw vegetables" , "Arc" , "Lean forward" , "Knot; heraldic stripe" , "Crouch" .)