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' suggests deleting specific letters.
'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" .)