Point creature's head out (4)
I believe the answer is:
east
'point' is the definition.
(east is a kind of point)
'creature's head out' is the wordplay.
'creature' becomes 'beast' (synonyms).
'head out' means to remove the first letter (I've seen 'heading out' mean this (the letter which heads the word is removed)).
'beast' with its first letter taken away is 'EAST'.
(Other definitions for east that I've seen before include "Airport near Derby" , "Bearing of 90 degrees" , "An opponent of North" , "Opposite of west" , "Upset seat in one direction" .)