Take out china after priest comes round at home (9)
I believe the answer is:
eliminate
'take out' is the definition.
(thesaurus)
'china after priest comes round at home' is the wordplay.
'china' becomes 'mate' ('China plate' is rhyming slang for 'mate'**).
'after' is a charade indicator (letters next to each other).
'priest' becomes 'eli' (I've seen this before).
'comes round' is an insertion indicator.
'at home' becomes 'in' ('in' can be similar in meaning to 'at home').
'mate' after 'eli' is 'elimate'.
'elimate' going around 'in' is 'ELIMINATE'.
(Other definitions for eliminate that I've seen before include "put out" , "waste" , "Completely remove, get rid of" , "Get rid of, or exclude from further stage of game" , "Discard - exclude" .)