Fugitive’s announcement that he’s here to stay? (11)
I believe the answer is:
impermanent
'fugitive's' is the definition.
(thesaurus)
'announcement that he's here to stay?' is the wordplay.
I cannot quite see how this works, but
'here' could be 'ent' (I've seen this in other clues) and 'ent' is found in the answer.
'he' could be 'man' (I've seen this in another clue) and 'man' is found in the answer.
This explanation may well be incorrect...
(Other definitions for impermanent that I've seen before include "Not lasting" , "Transient" , "Mutable" , "Temporary" , "Transitory" .)