Getting rid of (5)
I believe the answer is:
axing
'getting rid of' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for axing that I've seen before include "Reducing expenditure sharply" , "Sacking" , "Chopping, wood or jobs say" , "Dismissing (employees)" , "Cutting down" .)