Look for a star to the East (5)
I believe the answer is:
stare
'look' is the definition.
(I know that stare is a type of look)
'star to the east' is the wordplay.
'to the east' becomes 'E' (abbreviation).
'star'+'e'='STARE'
'for a' is the link.
(Other definitions for stare that I've seen before include "Gawp" , "Look with fixed gaze" , "Look with fixed eyes" , "bird" , "Rates (anag.)" .)