Lied about shop (4)
I believe the answer is:
deli
'shop' is the definition.
(delicatessen)
'lied about' is the wordplay.
'about' indicates anagramming the letters.
'lied' is an anagram of 'DELI'.
(Other definitions for deli that I've seen before include "Food shop (abbr)" , "shop briefly" , "Shop selling processed food products" , "Specialist foodshop(abbr.)" , "Unusual food shop" .)