Crossword Genius

Endorse what those on high table do after dinner? (7)

Ross

I believe the answer is:

support

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

'endorse' is the definition.
(I know that endorse can be written as support)

'those on high table do after dinner?' is the wordplay.
I cannot quite understand how this works, but
'high' could be 'up' (associated in meaning) and 'up' is found within the answer.
The remaining letters 'sport' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

'what' acts as a link.

Can you help me to learn more?

(Other definitions for support that I've seen before include "Bolster or back up" , "Prop" , "used to give strength?" , "Help -- encourage" , "Bear; corroborate" .)

I've seen this clue in The Guardian.
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