One's kid supplies supple leather (7)

I believe the answer is:

doeskin

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'supple leather' is the definition.
'doeskin' can be an answer for 'leather' (doeskin is a kind of leather). I'm unsure of the 'supple' bit.

'one's kid supplies' is the wordplay.
'supplies' is an anagram indicator (I've seen 'supply' mean this (in a supple way)).
'ones'+'kid'='oneskid'
'oneskid' anagrammed gives 'DOESKIN'.

Can you help me to learn more?

(Other definitions for doeskin that I've seen before include "glove material" , "Leather from deer" , "Type of leather" .)

I've seen this clue in The Globe and Mail.

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