A very short scene of square dancing happens in “Call the Midwife”, season 4, episode 6. The title of the episode is Do Si Doh.

The dancing looks like square dancing, but the calls don’t match what the people are doing. I will give this one a “nice try”. It’s certainly better than a lot of other shows that don’t get it quite right.

You can read a recap of the episode here.
http://www.afterellen.com/tv/429439-call-midwife-recap-4-6-si-doh/