Old man at home cuts open coat again (9)

I believe the answer is:

overpaint

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'coat again' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.

'old man at home cuts open' is the wordplay.
'old man' becomes 'pa' (both can mean someone's father).
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'cuts' means one lot of letters goes inside another (some letters cut their way into a word).
'open' becomes 'overt' (associated in meaning).
'pa'+'in'='pain'
'pain' placed into 'overt' is 'OVERPAINT'.

Can you help me to learn more?

(Other definitions for overpaint that I've seen before include "put on extra coat" , "Add extra colour to" .)

I've seen this clue in The Independent.

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