Hit after heads of state caused fight (5)
I believe the answer is:
scrap
'fight' is the definition.
(thesaurus)
'hit after heads of state caused' is the wordplay.
'hit' becomes 'rap' (I've seen this in other clues**).
'after' says to put letters next to each other.
'heads of' indicates taking the first letters.
The initial letters of 'state caused' is 'sc'.
'rap' after 'sc' is 'SCRAP'.
(Other definitions for scrap that I've seen before include "row" , "Tiny piece; abolish" , "Fight; abolish" , "Small amount; fight" , "boxing match?" .)