Director, intolerant, needing no introduction (5)
I believe the answer is:
arrow
'director' is the definition.
(something that directs e.g. on a sign)
'intolerant needing no introduction' is the wordplay.
'intolerant' becomes 'narrow' (similar in meaning).
'needing no introduction' means to remove the first letter.
'narrow' with its first letter removed is 'ARROW'.
(Other definitions for arrow that I've seen before include "William Tell's missile" , "Narrow missile" , "Missile with a point" , "Type of projectile" , "What's shot from a bow" .)