Intuition (5)
'intuition' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for sense that I've seen before include "Feel; discernment" , "Become aware of" , "Feeling - reason" , "Awareness" , "Eg, sight, smell" .)
(Other definitions for gut that I've seen before include "corporation" , "inside, perhaps" , "Natural violin string material" , "Part of body" , "Part of the alimentary canal" .)