Deduce there's no escaping Hell (5)
I believe the answer is:
infer
'deduce' is the definition.
(I know that deduce can be written as infer)
'no escaping hell' is the wordplay.
'escaping' suggests deleting specific letters.
'hell' becomes 'inferno' (inferno can mean hell as in Dante's Inferno).
'inferno' with 'no' taken out is 'INFER'.
'there's' acts as a link.
(Other definitions for infer that I've seen before include "Draw meaning from" , "Conclude or judge from facts" , "Derive as a consequence" , "come to a conclusion" , "Take or gather meaning from" .)