Cleaner entering houses with extremely brusque bigot (9)

I believe the answer is:

homophobe

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

'cleaner entering houses with extremely brusque' is the wordplay.
'cleaner' becomes 'mop' (something which 'cleans').
'entering' is an insertion indicator.
'houses with' becomes 'hoho' (I can't explain this - if you can you should give a lot more credence to this answer).
'extremely' says to hollow out the word (remove centre letters) (only the extremes of the word are used).
'brusque' with its centre removed is 'be'.
'mop' put into 'hoho' is 'homopho'.
'homopho'+'be'='HOMOPHOBE'

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I've seen this clue in The Independent.

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