I go round the city (5)
I believe the answer is:
turin
'the city' is the definition.
(Turin is an example)
'i go round' is the wordplay.
'go' becomes 'turn' (as in one's go or turn in a game).
'round' is an insertion indicator.
'i' put within 'turn' is 'TURIN'.
(Other definitions for turin that I've seen before include "Industrial city in northwest Italy" , "Italian city with sacred Christian Shroud" , "City abroad" , "Industrial city of Piedmont" , "It. city housing shroud" .)