Assign a piece of land, say, to (5)
I believe the answer is:
allot
'assign' is the definition.
('allot' can be a synonym of 'assign')
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for allot that I've seen before include "grant" , "Dish out" , "Dedicate" , "Assign or distribute" , "Award (share, task)" .)