Does he get out due to exhaustion? (5)

I believe the answer is:

peter

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'does he' is the definition.
'peter' can be an answer for 'he' (I've seen this before). I'm not sure about the 'does' bit.

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for peter that I've seen before include "Cephas" , "Saint's name" , "Leading apostle" , "In whist, play" , "Lord -- Wimsey (Sayers)" .)

I've seen this clue in the Evening Standard.

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