Renowned exile (5,4)
I believe the answer is:
dalai lama
'renowned exile' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for dalai lama that I've seen before include "Tibetan Buddhist leader, meaning ocean monk" , "Former Tibetan ruler" , "'Spiritual leader of Tibet (5,4)'" , "Tibetan religious leader" , "Titular Tibetan" .)