Spin around Italy's capital city (5)
I believe the answer is:
turin
'city' is the definition.
(Turin is an example)
'spin around italy's capital' is the wordplay.
'spin' becomes 'turn' (I've seen this in another clue).
'around' indicates putting letters inside.
'capital' suggests taking the first letters.
The first letter of 'italys' is 'i'.
'turn' going around 'i' is 'TURIN'.
(Other definitions for turin that I've seen before include "foreign city" , "North Italian city" , "City of northern Italy" , "regional capital" , "City abroad" .)