Storyteller is weird? Not half! (4)
I believe the answer is:
liar
'storyteller' is the definition.
(I've seen this before)
'weird? not half' is the wordplay.
'weird?' becomes 'peculiar'.
'not half' means to take half the letters.
'peculiar' with half the letters taken is 'LIAR'.
'is' is the link.
(Other definitions for liar that I've seen before include "Fabricator" , "Teller of fibs" , "Dishonest person" , "one trying to sell pork pies" , "man of fiction?" .)