Repeat right away what's left (6)
I believe the answer is:
estate
'what's left' is the definition.
(what's left behind by a deceased person)
'repeat right away' is the wordplay.
'repeat' becomes 'restate' (synonyms).
'right' becomes 'r' (common abbreviation).
'away' suggests deleting specific letters.
'restate' with 'r' taken away is 'ESTATE'.
(Other definitions for estate that I've seen before include "All of one's assets after death" , "Piece of land with a lot of houses" , "Car; landed property" , "Property with large grounds" , "All of one's assets -- 5-door car" .)