Overlook skinned cats (4)
I believe the answer is:
omit
'overlook' is the definition.
(synonyms)
'skinned cats' is the wordplay.
'skinned' indicates the central letters.
'cats' becomes 'vomits' ('vomit' can be a synonym of 'cat').
The middle letters of 'vomits' are 'OMIT'.
(Other definitions for omit that I've seen before include "Fail to use" , "Fail to include" , "Leave out or neglect" , "Leave out or undone" , "Exclude - neglect" .)