I've a car that's destroyed through greed (7)
I believe the answer is:
avarice
'greed' is the definition.
(avarice is a kind of greed)
'i've a car that's destroyed' is the wordplay.
'that's destroyed' indicates an anagram.
'ive'+'a'+'car'='iveacar'
'iveacar' anagrammed gives 'AVARICE'.
'through' is the link.
(Other definitions for avarice that I've seen before include "Greed - caviare (anag)" , "Wanting to be rich" , "Greed, covetousness" , "Rapacity" , "Parsimony" .)