Fellow connected with one city or another (10)

I believe the answer is:

manchester

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'or another' is the definition.
I can't tell whether this definition defines the answer.

'fellow connected with one city' is the wordplay.
'fellow' becomes 'man' (fellow can mean a man).
'connected with' means one lot of letters go next to another.
'one city' becomes 'chester' (Chester is an example).
'man'+'chester'='MANCHESTER'

Can you help me to learn more?

(Other definitions for manchester that I've seen before include "City of the Halle Orch." , "Synthetic cream (anag)" , "Airport in north-west England" , "City of NW England" , "It was once snarled up with cars" .)

I've seen this clue in The Times.

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