Bishop with responsibility for extra pay (5)
I believe the answer is:
bonus
'extra pay' is the definition.
(I've seen this in another clue)
'bishop with responsibility' is the wordplay.
'bishop' becomes 'B' (chess abbreviation).
'with' is a charade indicator (letters next to each other).
'responsibility' becomes 'onus' (onus is a duty or responsibility).
'b'+'onus'='BONUS'
'for' is the link.
(Other definitions for bonus that I've seen before include "Extra payment for good work" , "Extra payment - reward" , "Tip" , "Additional payment for work, often on merit" , "commission" .)