Dodgy men book her single-parent residence? (6,4)

I believe the answer is:

broken home

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'single-parent residence?' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.

'dodgy men book her' is the wordplay.
'dodgy' is an anagram indicator (a dodgy or wrong order of the letters).
'men'+'book'+'her'='menbookher'
'menbookher' is an anagram of 'BROKEN HOME'.

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I've seen this clue in The Times.

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