Crossword Genius

Old Hillman's parking on back road (3)

Ross

I believe the answer is:

imp

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

'old hillman's' is the definition.
I can't tell whether this defines the answer.

'parking on back road' is the wordplay.
'parking' becomes 'p' (abbreviation on road signs).
'on' is a charade indicator (letters next to each other).
'back' says the letters should be written in reverse.
'road' becomes 'MI' (resembles M1 motorway).
'mi' back-to-front is 'im'.
'p' after 'im' is 'IMP'.

Can you help me to learn more?

(Other definitions for imp that I've seen before include "old graft" , "Little mischief-maker" , "Goblin" , "Small mischievous spirit" , "Mischievous child" .)

I've seen this clue in The Guardian.
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