Race finish in London (4,3)

I believe the answer is:

mile end

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'london' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.

'race finish' is the wordplay.
'race' becomes 'mile' (mile can refer to a mile-long race).
'finish' becomes 'end' (come to an end).
'mile'+'end'='MILE END'

'in' is the link.

Can you help me to learn more?

(Another definition for mile end that I've seen is " 6D 5A [TUBE STATION]".)

I've seen this clue in the Evening Standard.

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