Tendency of female to fall asleep (5,3)
I believe the answer is:
drift off
'fall asleep' is the definition.
(synonyms)
'tendency of female' is the wordplay.
'tendency' becomes 'drift' (drift is a kind of tendency).
'female' becomes 'f' (abbreviation).
'drift'+'of'+'f'='DRIFT OFF'
'to' is the link.
I've seen this clue in The Telegraph.
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