Georgia entertains one, going round Italian city (5)
I believe the answer is:
genoa
'italian city' is the definition.
(I've seen this before)
'georgia entertains one going round' is the wordplay.
'georgia' becomes 'GA' (abbreviation for the US state).
'entertains' indicates putting letters inside.
'going round' shows that the letters should be reversed in order.
'one' backwards is 'eno'.
'ga' placed around 'eno' is 'GENOA'.
(Other definitions for genoa that I've seen before include "NW Italian sea port" , "Italian city has no age, oddly" , "Type of rich fruit cake" , "Italian city; sail" , "City of Italy" .)