The soft-shoe shuffle was a dance move.
When Melanie Bush told the Sixth Doctor to do a "song and dance" to distract the Juggernauts, he mused on whether he should give them "the ol' soft-shoe" or a Metebelian Oodleskip. (AUDIO: The Juggernauts)
Graham O'Brien threatened to perform the move against Daniel Barton's men whilst wearing laser shoes, warning "don't make me do the ol' soft-shoe shuffle." (TV: Spyfall)