Rudely overlook (4)
I believe the answer is:
snub
'rudely overlook' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for snub that I've seen before include "unusually short" , "Insult; blunt (nose)" , "Reject greeting, seek to humiliate" , "Rude rejection" , "Slight - short and blunt - humiliation" .)