Crossword Genius

Run it around town (5)

Ross

I believe the answer is:

turin

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'town' is the definition.
The answer and definition can be both locations as well as being singular nouns.
Maybe there's an association between them I don't understand?

'run it around' is the wordplay.
'around' indicates an anagram.
'run'+'it'='runit'
'runit' with letters rearranged gives 'TURIN'.

Can you help me to learn more?

(Other definitions for turin that I've seen before include "Italian city with famous religious Shroud" , "It. city housing shroud" , "Industrial city of Piedmont" , "City of northern Italy" , "City of northwest Italy (with a shroud)" .)

I've seen this clue in the Evening Standard.
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