Bogus capitalism you'll offer to exile? (9,6)
I believe the answer is:
political asylum
'offer to exile?' is the definition.
(an exile might be offered political asylum)
'bogus capitalism you'll' is the wordplay.
'bogus' indicates an anagram (a false or bogus form of the letters).
'capitalism'+'youll'='capitalismyoull'
'capitalismyoull' anagrammed gives 'POLITICAL ASYLUM'.
(Other definitions for political asylum that I've seen before include "State protection" , "refuge?" .)