Freezes chops daughter discarded (4)
I believe the answer is:
ices
'freezes' is the definition.
(ices over)
'chops daughter discarded' is the wordplay.
'chops' becomes 'dices' (dice can mean to chop up).
'daughter' becomes 'd' (genealogical abbreviation).
'discarded' indicates named letters should be taken away.
'dices' with 'd' taken out is 'ICES'.
(Other definitions for ices that I've seen before include "they may be held in the summer" , "Decorates cake with sugar topping" , "Cold refreshments" , "summer refreshment" , "Frozen desserts" .)