Hesitated to have father taken advantage of (6)
I believe the answer is:
paused
'hesitated' is the definition.
('pause' can be a synonym of 'hesitate')
'father taken advantage of' is the wordplay.
'father' becomes 'pa' (pa can mean dad or father).
'taken advantage of' becomes 'used' (use can mean to exploit or take advantage of).
'pa'+'used'='PAUSED'
'to have' is the link.
(Other definitions for paused that I've seen before include "Hesitated, stopped briefly" , "Waited a moment" , "Ceased temporarily" , "Stopped temporarily or hesitated" .)