Crossword Genius

Run small van for living in on holiday (7)

Ross

I believe the answer is:

scamper

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

'run' is the definition.
(I know that scamper is a type of run)

'small van for living in on holiday' is the wordplay.
I cannot really understand how this works, but
'small' could be 's' (abbreviation - e.g. clothes size) and 's' is found in the answer.
'van' could be 'camper' (I've seen this before) and 'camper' is found within the answer.
This accounts for all the letters.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for scamper that I've seen before include "Run quickly and lightly" , "Run and skip playfully about" , "Beetle" , "Skip about briskly" , "Skip playfully with campers" .)

I've seen this clue in The Times.
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