Right story ending in redemption (4)
I believe the answer is:
lien
'right' is the definition.
(legal right)
'story ending in redemption' is the wordplay.
'story' becomes 'lie' (story can mean a fabrication).
'ending in' suggests the final letters.
The last letter of 'redemption' is 'n'.
'lie'+'n'='LIEN'
(Other definitions for lien that I've seen before include "The right to take property if an obligation is not discharged" , "Right to another's property, if an obligation is not discharged" , "Right to retain property until a debt is paid" , "Right to keep property" , "Security for a debt" .)