Crossword Genius

Very quickly surrender duke (4,4,4)

Ross

I believe the answer is:

hand over fist

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'very quickly' is the definition.
I can't judge whether this definition defines the answer.

'surrender duke' is the wordplay.
'surrender' becomes 'handover' (I've seen this before).
'duke' becomes 'fist' (put up your dukes).
'handover'+'fist'='HAND OVER FIST'

Can you help me to learn more?

(Other definitions for hand over fist that I've seen before include "(Gain) rapidly" , "With steady and rapid gain" , "Rapid rate of money-making" , "With rapid progress" , "(Make, lose or spend money) very rapidly" .)

I've seen this clue in The Irish Times.
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