Assign, distribute (5)
I believe the answer is:
allot
This clue is a double definition.
'assign' is the first definition.
(I know that assign can be written as allot)
'distribute' is the second definition.
(I know that distribute can be written as allot)
(Other definitions for allot that I've seen before include "deal" , "Give as a share, or a task to be done" , "Allocate" , "split up" , "Dispense or distribute" .)