Magazine love story captivates daughter (5)
I believe the answer is:
oldie
'magazine' is the definition.
(The Oldie is a magazine)
'love story captivates daughter' is the wordplay.
'love' becomes 'o' (love means zero in tennis).
'story' becomes 'lie' (story can mean a fabrication).
'captivates' means one lot of letters goes inside another (inserted letters are captured or captivated).
'daughter' becomes 'd' (genealogical abbreviation).
'lie' going around 'd' is 'ldie'.
'o'+'ldie'='OLDIE'
(Other definitions for oldie that I've seen before include "Elderly person" , "pensioner" , "Veteran" , "Once popular song (perhaps "golden")" , "Venerable person/thing" .)