Crossword Genius

Change of ownership originally eliminating resistance steadily and quickly (4,4,4)

Ross

I believe the answer is:

hand over fist

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

'quickly' is the definition.
(thesaurus)

'change of ownership originally eliminating resistance steadily' is the wordplay.
I cannot really understand how this works, but
'change' could be 'handover' (handover is a kind of change) and 'handover' is located in the answer.
The remaining letters 'fist' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

'and' acts as a link.

Can you help me to learn more?

(Other definitions for hand over fist that I've seen before include "(Gain) rapidly" , "With rapid progress" , "speedily" , "(Make, lose or spend money) very rapidly" , "(E.g. make money) very easily" .)

I've seen this clue in The Times.
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