Asian leaders of institution really are quite indecisive (5)
I believe the answer is:
iraqi
'asian' is the definition.
(Iraqi is an example)
'leaders of institution really are quite indecisive' is the wordplay.
'leaders of' says to take the initial letters.
The initial letters of 'institution really are quite indecisive' is 'IRAQI'.
(Other definitions for iraqi that I've seen before include "From a battle zone" , "Middle Easterner" , "Citizen of Baghdad, say" , "around Baghdad?" , "From Basra, possibly" .)