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A place to take a rest, each in a walkway (4)

Ross

I believe the answer is:

seat

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

'a rest each in a walkway' is the definition.
I can't tell whether this defines the answer.

'a place to take' is the wordplay.
'place' becomes 'set' (synonyms).
'to take' means one lot of letters goes inside another (inserted letters are taken in).
'a' put inside 'set' is 'SEAT'.

Can you help me to learn more?

(Other definitions for seat that I've seen before include "MP's place in parliament" , "pew?" , "Position (in parliament)" , "Spanish car" , "Chair, bench, saddle, etc" .)

I've seen this clue in the Sydney Morning Herald.
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