Start to smoke joints audibly, showing sign of irritation (6)
I believe the answer is:
sneeze
'sign of irritation' is the definition.
I don't understand how the rest of the clue works.
(Other definitions for sneeze that I've seen before include "Minor bodily explosion" , "Go a-tishoo!" , "Precursor to "bless you"" , "Nasal eruption from common cold" , "Explosive nasal action" .)