I spelled that wrong. It seems to be 'Chabenat.' Judging from the number of videos of the Crested Hens Waltz, it's definitely popular.

For those who don't know it, here's a link to one of them:

https://www.youtube.com/watch?v=NUvokGpqZ9w

There's another version by the band Solas, but I think it's too slow and intellectual.