Being overweight, father gets rid of her (3)
I believe the answer is:
fat
'being overweight' is the definition.
('fat' can be similar in meaning to 'overweight')
'father gets rid of her' is the wordplay.
'gets rid of' is a deletion indicator.
'father' with 'her' taken away is 'FAT'.
(Other definitions for fat that I've seen before include "Profitable" , "Excess body weight" , "Naturally oily substance" , "Like 10 ac" , "Overweight, stout" .)