Sensed being left out (4)
I believe the answer is:
felt
'sensed' is the definition.
('feel' can be a synonym of 'sense')
'left out' is the wordplay.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'left' is an anagram of 'FELT'.
'being' is the link.
(Other definitions for felt that I've seen before include "Soft fibrous material usually under carpet" , "Handled - material" , "Cloth; touched" , "It's reckoned" , "compassion" .)