Crossword Genius

Promise to give a hand to (7)

Ross

I believe the answer is:

betroth

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'a hand to' is the definition.
I can't judge whether this defines the answer.

'promise to' is the wordplay.
'promise' becomes 'bet' (betting is a kind of promising).
'to' becomes 'roth' (I can't justify this - if you can you should give a lot more credence to this answer).
'bet'+'roth'='BETROTH'

'give' acts as a link.

Can you help me to learn more?

(Other definitions for betroth that I've seen before include "Engage to be married" , "Plight" , "Promise to marry" , "contract" , "Promise to match" .)

I've seen this clue in the Evening Standard.
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