Crossword Genius

Seaside walk with Penny delayed walk in the park (4)

Ross

I believe the answer is:

romp

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

'walk in the park' is the definition.
(I've seen this in another clue)

'seaside walk with penny delayed' is the wordplay.
I cannot quite see how this works, but
'penny' could be 'p' (short for pence) and 'p' is located in the answer.
The remaining letters 'rom' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for romp that I've seen before include "Play boisterously" , "Proceed energetically" , "Lively play during prom" , "High jinks" , "Play in a lively way, like children" .)

I've seen this clue in The Independent.
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