Well ...... I'm only a junior high school student, but my family used to have this situation, my dad wouldn't let my mom go, and there were several fights over it, and although my mom did stop going later on, the situation in the house was just smoke and mirrors at that time.
While your wife will definitely be upset if she dances with another man, if it's just a dance, or if you believe in your wife, it's best not to directly ask her not to go, but if you have a problem because of it, it's too much of a loss.
This is just the opinion of a middle schooler, you can choose to ignore it.