Peeper problem (4)
I believe the answer is:
stye
'peeper problem' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for stye that I've seen before include "Tamworth residence" , "Eyelid sore" , "Inflammation on eyelid" , "Viewer's complaint" , "Infection on the edge of the eye" .)