Fight anticipated by Left (4)
I believe the answer is:
duel
'fight' is the definition.
(duel is a kind of fight)
'anticipated by left' is the wordplay.
'anticipated' becomes 'due' ('due' can be similar in meaning to 'anticipated').
'by' says to put letters next to each other.
'left' becomes 'l' (common abbreviation).
'due'+'l'='DUEL'
(Other definitions for duel that I've seen before include "Gentlemen's disagreement" , "Two-person combat" , "Arranged fight" , "Fight to the death between two people" , "One got satisfaction from this" .)