Ship's store close to empty (6)
I believe the answer is:
argosy
'ship's' is the definition.
(I've seen this before)
'store close to empty' is the wordplay.
'store' becomes 'argos' (UK retailer).
'close to' says to take the final letters (the close/ending of).
The final letter of 'empty' is 'y'.
'argos'+'y'='ARGOSY'
(Other definitions for argosy that I've seen before include "A great fleet as Spain once had" , "One or more large merchant ships" , "A fleet of ships" , "Ancient merchant ship" , "Merchant ship (poet.)" .)