They found out it was the metal in two cavity filling that made the teeth vibrate and transmitted sound to their ear.
Not sure if it's just an urban legend or legit, but I like that story.
While the story seems a bit far fetched, having fillings act as diode rectification of an AM signal that is then conducted into sound via the jaw is completely real and has happened to many people, particularly moreso in the past when people more often had metal fillings and very powerful AM signals were more prominent.
Primitive diodes.
That's literally an antenna[1][2], actually.