Escape from conflict, bearing left (6)
I believe the answer is:
flight
'escape' is the definition.
('flight' can be a synonym of 'escape')
'conflict bearing left' is the wordplay.
'conflict' becomes 'fight' (fight is a kind of conflict**).
'bearing' indicates putting letters inside.
'left' becomes 'l' (common abbreviation).
'fight' placed around 'l' is 'FLIGHT'.
'from' is the link.
(Other definitions for flight that I've seen before include "Tail of an arrow or dart" , "Exodus" , "Journey made by plane" , "Series of steps" , "Journey by air" .)