Look for someone at one's own level, or higher? (4)
I believe the answer is:
peer
'look' is the definition.
(to peer at something is to look at it)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for peer that I've seen before include "Look hard at the nobleman" , "Gaze" , "One's equal" , "Look closely at equal" , "Coequal" .)