Asian chief within shook hands (4)
I believe the answer is:
khan
'asian chief' is the definition.
(I've seen this before)
'within shook hands' is the wordplay.
'within' indicates a hidden word.
'KHAN' is hidden in the letters of 'shook hands'.
(Other definitions for khan that I've seen before include "See 14" , "Central Asian prince or chief" , "Title of respect in central Asia (for a descendant of Genghis?)" , "Eastern potentate" , "Imran --, Pakistan's PM" .)