Mete out, assign (5)
I believe the answer is:
allot
I believe this clue is a double definition.
'mete out' is the first definition.
(allotting is a kind of meting out)
'assign' is the second definition.
(I know that assign can be written as allot)
(Other definitions for allot that I've seen before include "Apportion, share" , "Dispense or distribute" , "Give, apportion" , "Designate; sounds like much" , "budget" .)