Cleaner put off man of good birth (9)

I believe the answer is:

detergent

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'cleaner' is the definition.
(chemical that cleans)

'put off man of good birth' is the wordplay.
'put off' becomes 'deter' (both can mean to discourage).
'man of good birth' becomes 'gent' (I can't justify this - if you can you should believe this answer much more).
'deter'+'gent'='DETERGENT'

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(Other definitions for detergent that I've seen before include "help with the washing-up" , "Soluble cleansing agent" , "Cleaning product" , "Cleansing solvent" , "Synthetic cleaning substance for washing machines" .)

I've seen this clue in The Times.

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