Inferno you witness got finally put out (4)
I believe the answer is:
oust
'put out' is the definition.
(I've seen this before)
'inferno you witness got finally' is the wordplay.
'finally' indicates one should take the final letters.
The last letters of 'inferno you witness got' are 'OUST'.
(Other definitions for oust that I've seen before include "Remove from a position of power" , "Give marching orders" , "Force from office" , "Expel from office or position" , "Drive out, eject from office" .)