Crossword Genius

When the car comes in, give a wave, Father's home (8)

Ross

I believe the answer is:

vicarage

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

'home' is the definition.
(vicarage is a kind of home)

'when the car comes in give a wave fathers' is the wordplay.
I cannot quite see how this works, but
'a' is within the answer.
an anagram of 'car' is 'cra' which is located in the left over letters.
an anagram of 'give' is 'vige' which is present in the left over letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for vicarage that I've seen before include "House of a member of the clergy" , "house near church?" , "Church accommodation" , "Revs will get one such home" , "House of a C of E clergyman" .)

I've seen this clue in the Evening Standard.
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