Hide after dropping trendy basin (4)

I believe the answer is:

skin

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

'hide' is the definition.
(a hide is an animal skin)

'dropping trendy basin' is the wordplay.
I cannot really understand how this works, but
'trendy' could be 'in' ('in' can mean fashionable) and 'in' is found in the answer.
This explanation may well be incorrect...

'after' is the link.

Can you help me to learn more?

(Other definitions for skin that I've seen before include "Pelt" , "Personal cover?" , "Peel; drum head" , "Outer surface" , "External membrane of body" .)

I've seen this clue in The Independent.

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