After the failure of the first single by the band, the label did not feel expenses were warranted to film a music video.
The promotional 7" vinyl singles feature a double A-side of an edited version of the track.
There was also a promotional CD single issued for the Phil Collins song "A Groovy Kind of Love".
Amos has told a story on The Rosie O'Donnell Show[1] regarding an incident where the release of this single may have kept her out of harm.
She states that between the failure of "Y Kant Tori Read" and her successful solo career she was detained by German police while travelling because a friend (and co-traveller) had marijuana on her person.