Well im shore 99.9% of people have played or seen the game snake. I have a caterpilla and i was wondering how can i do this with my furry little friend?

In the classic game of snake there are only 4 directions on which it can go, i was hoping to make it turn slowly (like a car) following the mouse

Dose any body know of a tutorial on somthing like?

PS: I am not making a game, i want it to follow the mouse just for fun, Learning experience...