Assigned task (5)
I believe the answer is:
remit
'assigned task' is the definition.
(I've seen this before)
This is the entire clue.
(Other definitions for remit that I've seen before include "Task/area assigned (to an organisation)" , "Relax; send (payment)" , "Cancel - terms of reference" , "Send (money) by post" , "Send - terms of reference" .)