Produce artwork that's required by supermarket chain (4)
I believe the answer is:
etch
'produce' is the definition.
(I know that etch is a kind of print)
'required by supermarket chain' is the wordplay.
'required by' says the answer is hidden in the clue (the answer is required to spell part of the clue).
'ETCH' can be found hidden inside 'supermarket chain'.
'artwork that's' is the link.
This may not be right. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for etch that I've seen before include "Corrode" , "Incribe" , "Cut into a block used for printing" , "Engrave deeply" , "Use acid to design on metal or glass" .)