I was first going round food shop (4)
I believe the answer is:
deli
'food shop' is the definition.
(short for delicatessen)
'i was first going round' is the wordplay.
'was first' becomes 'led' (to lead is to go first).
'going round' says the letters should be written backwards.
'i'+'led'='iled'
'iled' back-to-front is 'DELI'.
(Other definitions for deli that I've seen before include "food outlet" , "Specialist food shop" , "Fine-food store" , "small food shop" , "Food shop (abbr)" .)