Argument that has a point (7)
I believe the answer is:
quarrel
This clue is a double definition.
'argument' is the first definition.
(I've seen this before)
'that has a point' is the second definition.
(historical type of arrow)
(Other definitions for quarrel that I've seen before include "Wrangle; crossbow bolt" , "Angry argument" , "Tiff" , "Angry dispute" , "Spat" .)