Sounds much to assign (5)
I believe the answer is:
allot
'assign' is the definition.
(I know that assign can be written as allot)
'sounds much' is the wordplay.
'sounds' becomes 'al' (I can't justify this - if you can you should believe this answer much more).
'much' becomes 'lot' (I've seen this in other clues).
'al'+'lot'='ALLOT'
'to' is the link.
Can you help me to learn more?
(Other definitions for allot that I've seen before include "Give, apportion" , "Earmark" , "Apportion, share" , "Dispense or distribute" , "Ration" .)