The outer parts, possibly fruitful (5)

I believe the answer is:

skins

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'the outer parts' is the definition.
'skins' can be an answer for 'parts' (skin is a kind of part). I am not sure about the 'the outer' bit.

I don't understand the rest of the clue.

Can you help me to learn more?

(Another definition for skins that I've seen is " Pelts".)

I've seen this clue in the Evening Standard.

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