Fire and bag (4)
I believe the answer is:
sack
This clue is a double definition.
'fire' is the first definition.
(dismiss someone from their job)
'bag' is the second definition.
(sack is a kind of bag)
'and' is the link.
(Other definitions for sack that I've seen before include "Discharge" , "Fire; hessian bag" , "Fire - rifle" , "It carries coal" , "Wine; fire; bag" .)