"Never heard that name used in a Tango." In American style Tango, a "fan" is an outside swivel (just one more example of using the same word to mean something different; another example--a spot turn means something very different in American style Latin dances than it means in International style). I think that's what this particular instructor was thinking of when he called that movement a "body fan."

If the International Tango at the completion of the Progressive Link The outside of the Ladies right knee is touching the inside of the Mans left . And the inside of the Ladies left knee should be touching the outside of the mans right knee. Its not likely that the position of the of the legs and feet will alter. Just turn the heads for the man right then left. Lady the opposite. Now we step each one floorboard wide, or enough so that the lady can step slightly behind the man without distorting the shape into the Closed Promenade