Create waypoints on a spline in real time?

Hi, I'm hoping someone can point me in the right direction for this as I've gotten lost in the forum.

What I'd like to do is have a snakes body move along a dynamically created spline. What I was thinking of doing was creating a new point at the location of the head every 1/2 second or so, insert it into the first position in a list of the waypoints & then use it to the determine the spline that all the body segments would move along. As the last body segment crosses the 2nd last waypoint I'd destroy the last waypoint in the list just to keep it tidy.

Would this be a reasonable solution? FYI, it has been suggested I use a cubic spline for the movement.