Abandon currency after disheartened support (6)
I believe the answer is:
strand
'abandon' is the definition.
(stranding is a kind of abandoning)
'currency after disheartened support' is the wordplay.
'currency' becomes 'rand' (I've seen this before).
'after' says to put letters next to each other.
'disheartened' means to remove the middle letters.
'support' with its middle taken out is 'st'.
'rand' put after 'st' is 'STRAND'.
(Other definitions for strand that I've seen before include "that may be found by the sea" , "Thread - London street" , "Old magazine" , "Drive aground on shore" , "Single hair; drive ashore" .)