Here is my favourite method for making split chains. This video shows how to do it when tatting front-side/back-side. This is a more advanced technique, but well worth learning in my opinion, to be able to move from round to round without having to cut and tie.
There is a sister video to this one for when you are working traditional tatting. You can view it here: https://youtu.be/8uVuNHi6NJY?si=c7FSncu3Q-kLcNQy