Only near the finish? (5)

I believe the answer is:

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This could be a double definition.

'only near' is the first definition.
'close' can be an answer for 'near' (similar in meaning). I am unsure of the 'only' bit.

'the finish?' is the second definition.
('close' can be a synonym of 'finish')

Can you help me to learn more?

(Other definitions for close that I've seen before include "cathedral precinct" , "Meeting with a UFO?" , "Not far off" , "Complete, a deal or case say" , "cul-de-sac" .)

I've seen this clue in the Evening Standard.

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