Conclude there’s no escaping from fire (5)
I believe the answer is:
infer
'conclude' is the definition.
(inferring is a kind of concluding)
'no escaping from fire' is the wordplay.
'escaping from' indicates named letters should be taken away.
'fire' becomes 'inferno' (inferno is a kind of fire).
'inferno' with 'no' taken out is 'INFER'.
'there's' acts as a link.
(Other definitions for infer that I've seen before include "Conclude or judge from facts" , "Deduce by reasoning" , "Imply" , "Establish by deduction" , "'Deduce, conclude (5)'" .)