Spin around one Italian city (5)
I believe the answer is:
turin
'city' is the definition.
(I know that Turin is a city)
'spin around one italian' is the wordplay.
'spin' becomes 'turn' (I've seen this in another clue).
'around' indicates putting letters inside.
'one italian' becomes 'I' (abbreviation for Italian).
'turn' enclosing 'i' is 'TURIN'.
(Other definitions for turin that I've seen before include "NW Italian city with famous Shroud" , "First capital of a united Italy, 1861-65" , "14 Italian city" , "foreign city" , "Italian city with famous religious Shroud" .)