Spin round Italy's first city (5)
I believe the answer is:
turin
'city' is the definition.
(Turin is an example)
'spin round italy's' is the wordplay.
'spin' becomes 'turn' (I've seen this in other clues).
'round' means one lot of letters goes inside another.
'italy' becomes 'i'.
'turn' placed around 'i' is 'TURIN'.
'first' is the link.
(Other definitions for turin that I've seen before include "NW Italian city with famous Shroud" , "I turn to the Italian city" , "regional capital" , "First capital of a united Italy, 1861-65" , "City abroad" .)