Throw stick out (7)
I believe the answer is:
project
I believe this clue is a double definition.
'throw' is the first definition.
('project' can be a synonym of 'throw')
'stick out' is the second definition.
('project' can be a synonym of 'stick out')
(Other definitions for project that I've seen before include "Stick out; proposed undertaking" , "Stand out" , "Cast forward" , "Lengthy task for student" , "Launch" .)