Is this the type of cover we all have at the end of 8 down? (4)

I believe the answer is:

skin

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'is this the type of cover' is the definition.
'skin' can be an answer for 'the type of cover'. I am unsure of the remainder of the definition.

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for skin that I've seen before include "What keeps you in" , "Swindle" , "Fell" , "Outer covering" , "Peel; drum head" .)

I've seen this clue in the Irish Times.

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