Crossword Genius

Soldier has two thousand to give to middlemen as per first person's rude request (5)

Ross

I believe the answer is:

gimme

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'rude request' is the definition.
The definition suggests a verb in its base form which matches the answer.

'soldier has two thousand to give to middlemen as per first person's' is the wordplay.
I cannot really understand how this works, but
'soldier' could be 'gi' (term for US soldier) and 'gi' is present in the answer.
'thousand' could be 'm' (Roman numeral for a thousand) and 'm' is found within the answer.
'first person' could be 'me' (first-person pronoun) and 'me' is found in the answer.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for gimme that I've seen before include "Green concession" , "Very short putt?" , "Putting piece of cake" , "Very easy putt" , "I rudely demand" .)

I've seen this clue in The Irish Times.
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