Crossword Genius

Take off one's hat to throw up after cup final (6)

Ross

I believe the answer is:

praise

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'take off one's hat to throw' is the definition.
I can't judge whether this definition defines the answer.

'up after cup final' is the wordplay.
'up' becomes 'raise' (I've seen this in another clue).
'after' says to put letters next to each other.
'cup final' becomes 'p' (I can't explain this - if you can you should believe this answer much more).
'raise' put after 'p' is 'PRAISE'.

Can you help me to learn more?

(Other definitions for praise that I've seen before include "Speak well of" , "Cry 'hallelujah'" , "Commendation" , "Aspire (anag)" , "flatter" .)

I've seen this clue in the Sydney Morning Herald.
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