Carriage used after the hunt to carry injured leader (10)
I believe the answer is:
postchaise
'carriage' is the definition.
(I've seen this before)
'after the hunt to carry injured leader' is the wordplay.
'after' becomes 'post' (prefix meaning after, eg post-war).
'the hunt' becomes 'chase' (I've seen this in another clue).
'to carry' indicates putting letters inside.
'leader' indicates taking the first letters.
The initial letter of 'injured' is 'i'.
'chase' placed around 'i' is 'chaise'.
'post'+'chaise'='POSTCHAISE'
'used' acts as a link.
(Another definition for postchaise that I've seen is " carriage".)