Fly circles minute eatery (3,4)
I believe the answer is:
tea room
'eatery' is the definition.
(tea room is a type of eatery)
'fly circles minute' is the wordplay.
'fly' becomes 'tear' (I've seen this in another clue).
'circles' becomes 'oo' (resembles two O's).
'minute' becomes 'm' (abbreviation).
'tear'+'oo'+'m'='TEA-ROOM'
(Other definitions for tea room that I've seen before include "Small restaurant or cafe" , "Where light refreshments are served" , "Place in which a cuppa is served" , "Place for light refreshments" .)