the expression "dance card" is often used metaphorically, as when someone says "pencil me into your dance card," meaning "find some time to spend with me."
Among the polyamorous, a person's "dance card" is their set of romantic/sexual partners. "How full is his dance card?" means "Is he open to more relationships?"
How full is his dance card?
Pencil me into your dance card.
The terms of a bet where by the benefactor receives the right to publicly humiliate the looser by requesting them to preform a solo dance at any place/time.
are also good substitutes
I bet a dance card that woman over there is actually a man!