Half of shipment for food shop (4)
I believe the answer is:
deli
'food shop' is the definition.
(short for delicatessen)
'half of shipment' is the wordplay.
'half of' means to take half the letters.
'shipment' becomes 'delivery' (I've seen this before).
'delivery' halved is 'DELI'.
'for' acts as a link.
(Other definitions for deli that I've seen before include "Food shop or counter" , "Food shop (abbr)" , "Fine-food store" , "Shop selling processed food products" , "part of supermarket" .)