One entitled to look closely (4)
I believe the answer is:
peer
This clue is a double definition.
'one entitled' is the first definition.
(I've seen this before)
'look closely' is the second definition.
(I've seen this in another clue)
'to' acts as a link.
(Other definitions for peer that I've seen before include "Look dimly at lord" , "Lord of the realm" , "Noble; equal" , "One entitled" , "Look with difficulty; equal" .)