Graduate carried off for obstruction (9)
I believe the answer is:
barricade
'obstruction' is the definition.
(barricade is a kind of obstruction)
'graduate carried off' is the wordplay.
'graduate' becomes 'ba'.
'off' indicates anagramming the letters.
'carried' anagrammed gives 'rricade'.
'ba'+'rricade'='BARRICADE'
'for' acts as a link.
(Other definitions for barricade that I've seen before include "Fortification, barrier" , "Blockade" , "Defend" , "Barrier, to block a street perhaps" , "Improvised fence" .)