Street traveller, no dawdler? (7)

I believe the answer is:

strider

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'no dawdler?' is the definition.
I know nothing about this answer so I cannot judge whether it can be defined by this definition.

'street traveller' is the wordplay.
'street' becomes 'st' (abbreviation).
'traveller' becomes 'rider' (rider is a kind of traveller).
'st'+'rider'='STRIDER'

Can you help me to learn more?

(Other definitions for strider that I've seen before include "Walker" , "One stepping out" .)

I've seen this clue in The Times.

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