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Sleep like one and look good! (3)

Ross

I believe the answer is:

log

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'sleep like one' is the definition.
Although both the answer and definition are singular nouns, I don't understand how they can define each other.

'look good' is the wordplay.
'look' becomes 'lo' (archaic exclamation meaning 'look!').
'good' becomes 'g' (abbreviation).
'lo'+'g'='LOG'

'and' is the link.

Can you help me to learn more?

(Other definitions for log that I've seen before include "number in maths class?" , "Register" , "Official record; cut part of tree trunk" , "Chunk of wood" , "Ship's record" .)

I've seen this clue in the Evening Standard.
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