Points one put to newspaper union leader (4)
I believe the answer is:
foci
'points' is the definition.
(focus is a kind of point)
'one put to newspaper union leader' is the wordplay.
'one put to' means one lot of letters go next to another.
'newspaper' becomes 'i' (the i is a British newspaper).
'union leader' becomes 'foc' (short for father of the chapel, a union officer).
'i' put after 'foc' is 'FOCI'.
(Other definitions for foci that I've seen before include "targets" , "Central points (of the greatest activity)" , "Points for attention" , "fixed points" , "Centres" .)