As defined by Cosmo or Sykes (Joe Pantoliano and Daniel Roebuck respectively) in the 1993 movie "The Fugitive". In a conversation in the Federal building, Cosmo, Sykes and Sam Gerard (Tommy Lee Jones), the situation with Dr. Richard Kimble (Harrison Ford) is described as Hinkey, meaning that it is strange or unusual. Gerard exclaims that he does not know what that means and doesn't want them using words around him that he does not understand. Hence, if something, or someone is hinkey, it is strange and/or unusual.
Seeing the sun shine while it is pouring down rain is hinkey.
A sexual position while in an orgy, in which you and your best friend try to avoid seeing one another’s penises by having your backs to each other. In the process you bump rumps one to many times causing each butt to become raw and bleeding and thus you are now blood brothers.