Hands down, armpits dry? (2,5)

I believe the answer is:

no sweat

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'hands down' is the definition.

I can't explain the remainder of the clue.

(Other definitions for no sweat that I've seen before include "Not a problem (US colloq.)" , "easily done" , "There shouldn't be any objection" , "That's a piece of cake (anti-perspirant unnecessary!)" , "East won (anag)" .)

I've seen this clue in The Times.

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