Crossword Genius

Garment a minister pulled up in open-topped car (8)

Ross

I believe the answer is:

overalls

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

'garment' is the definition.
(I have seen 'Protective garment ' mean 'overalls' so perhaps 'garment' could also mean 'overalls')

'a minister pulled up in open-topped car' is the wordplay.
I cannot quite see how this works, but
'a' is present in the answer.
'up' could be 'over' and 'over' is found within the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for overalls that I've seen before include "Save roll (anag.)" , "Boiler suit" , "Boiler suits" , "Protective garment" , "Protective wear" .)

I've seen this clue in The Guardian.
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