Later exchanges in court battle (8)
I believe the answer is:
waterloo
'battle' is the definition.
(1815 battle)
'later exchanges in court' is the wordplay.
'exchanges' indicates anagramming the letters (I've seen 'exchanged' mean this).
'in' indicates putting letters inside.
'court' becomes 'woo' (both can mean to romance someone).
'later' is an anagram of 'aterl'.
'aterl' put within 'woo' is 'WATERLOO'.
(Other definitions for waterloo that I've seen before include "Napoleon's 1815 defeat" , "Where Wellington defeated Napoleon" , "Battle - station" , "track from Sweden" , "Decisive battle" .)