Unduly interested (4)
I believe the answer is:
nosy
'unduly interested' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for nosy that I've seen before include "Over-inquisitive" , "Fragrant" , "Meddlesome" , "lots of questions" , "Offensively curious or inquisitive" .)