Very afraid oddly to stop one exposing greed (7)
I believe the answer is:
avarice
'greed' is the definition.
(synonyms)
'very afraid oddly to stop one' is the wordplay.
'very' becomes 'v' (abbreviation).
'oddly' indicates alternate letters (letters in the odd-numbered positions are used).
'to stop' indicates putting letters inside (stop can mean to plug a hole in something).
'one' becomes 'ace' (ace has a value of one in some card games).
The alternating letters of 'afraid' are 'ari'.
'v'+'ari'='vari'
'vari' placed within 'ace' is 'AVARICE'.
'exposing' is the link.
(Other definitions for avarice that I've seen before include "Eager desire" , "Greed, covetousness" , "Rapacity" , "Wanting to be rich" , "Sway, control" .)