Right of leader in newspaper to support story (4)
I believe the answer is:
lien
'right' is the definition.
(I've seen this before)
'leader in newspaper to support story' is the wordplay.
'leader in' suggests taking the first letters.
'to support' is a charade indicator (letters next to each other).
'story' becomes 'lie' (I've seen this before**).
The first letter of 'newspaper' is 'n'.
'n' put after 'lie' is 'LIEN'.
'of' acts as a link.
(Other definitions for lien that I've seen before include "Legal claim on Nile" , "Right to a lawyer" , "Right to keep property" , "Legal right over the Nile" , "Legal right to detain property" .)