Man on a Swing (1974)

When a young schoolteacher is found dead in her car in a parking lot in broad daylight, police chief Lee Tucker can find no clues pointing to her killer. Flamboyant self-proclaimed psychic Franklin Wills offers his help to the skeptical policeman, and, when his supposed visions about the case begin to reveal clues and information that only the killer could possibly have known, he becomes a suspect himself.