If you want a trophy, start climbing higher (3)

I believe the answer is:

cup

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

'if you want a trophy' is the definition.
I can't judge whether this defines the answer.

'start climbing higher' is the wordplay.
'start' indicates taking the first letters.
'higher' becomes 'up'.
The initial letter of 'climbing' is 'c'.
'c'+'up'='CUP'

Can you help me to learn more?

(Other definitions for cup that I've seen before include "Trophy, drink" , "Trophy; drinking vessel" , "McCarthy, Walker or Maguire" , "Container to drink from - prize" , "Prize; vessel" .)

I've seen this clue in the Evening Standard.

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