A hunting expedition, as far as I can make out (6)
I believe the answer is:
safari
'a hunting expedition' is the definition.
('safari' can be a synonym of 'hunting expedition')
'far as i can make out' is the wordplay.
'can make' indicates anagramming the letters.
'out' is an insertion indicator.
'as'+'i'='asi'
'asi' is an anagram of 'sai'.
'far' inserted into 'sai' is 'SAFARI'.
'as' acts as a link.
(Other definitions for safari that I've seen before include "Animal expedition" , "Expedition to see animals" , "Overland journey by hunters" , "Big game expedition" , "Hunting journey" .)