Fight to get a comic character to the top (5-2)

I believe the answer is:

punch-up

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'fight' is the definition.
(I've seen this before)

I can't explain the remainder of the clue.

(Other definitions for punch-up that I've seen before include "An informal fist-fight or brawl - strike vertically?" , "Fisticuffs incident" , "Fist fight" , "An informal brawl, a fight with fists" , "An informal fight, with vertical blows?" .)

I've seen this clue in the Evening Standard.

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