upon further reflection, the DR has danced at least 5 times. 1; With Polly and Ben at the end of Macra 2; A futillity dance with Jo 3; With Roas and Captain JAck 4; With MAdame Pompador 5; Amy and Rorys wedding.
And I would guess that he also danced with River, Clara. and Cleyo Patra. Also he did go to the dance with the school nurse while he was a human hiding from the family of blood.
I don't actually remember him dancing with her. but...then again they didn't actually show him dancing with Madam Pompadour but he did later dance into the work shop with the clock work robots so that could count as one or two times.
I have a nagging notion I'm miss one more but then again it could be sleep depredation.