This is a great fun project for kids and for beginners. That is probably not the right way to attach the wood to the lathe. You probably want a chuck with more friction than what he has there. Alternatively glue it to a sacrificial piece of wood. I do like it when they show you when things go wrong in these videos. You can learn quite a bit from the mistakes other woodworkers make. Because the size of the wood is so small it’s really worth finding a nice looking piece to work on.