Strips after retiring for shuteye (5)

I believe the answer is:

sleep

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'shuteye' is the definition.
The answer and definition can be both states of affairs as well as being singular nouns.
Perhaps they are linked in a way I don't understand?

I can't explain the rest of the clue.

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(Other definitions for sleep that I've seen before include "Natural state of unconscious rest" , "crash" , "Shut-eye" , "Be dormant" , "Snooze" .)

I've seen this clue in The Independent.

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