Governor's weakness regarding young woman (4-5)
I believe the answer is:
vice-regal
'governor's' is the definition.
'weakness regarding young woman' is the wordplay.
'weakness' becomes 'vice' (I've seen this before).
'regarding' becomes 're'.
'young woman' becomes 'gal' ('gal' can be a synonym of 'young woman').
'vice'+'re'+'gal'='VICE-REGAL'
I've seen this clue in The Times.
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