Crossword Genius

Take a spin around one city (5)

Ross

I believe the answer is:

turin

I'm a little stuck... Click here to teach me more about this clue!

'city' is the definition.
(I know that Turin is a city)

'take a spin around one' is the wordplay.
I cannot really see how this works, but
'take' could be 'r' (abbreviation for 'recipe', Latin for 'take') and 'r' is found in the answer.
'one' could be 'i' (Roman numeral) and 'i' is found within the answer.
The remaining letters 'tun' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for turin that I've seen before include "Industrial city of Piedmont" , "First capital in 1861 of united Italy" , "NW Italian city with famous Shroud" , "I turn to the Italian city" , "14 Italian city" .)

I've seen this clue in The Mirror.
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