Japanese sugar clay?

It wouldn't do you much good to have a recipe without some instruction from an expert. The candy base is prepared beforehand, using a starchy syrup recipe that requires careful monitoring to ensure proper consistency and appearance. The mixture is kneaded and pulled by hand, and formed into a large ball to be stored until ready to use. At the stall, the candy ball is heated to make it pliable again. The artist puts their hand into the hot mass to pinch up the material necessary; this too is a skill, as the artist must learn to tolerate the painful heat of the medium. The hot candy is quickly rolled and mounted on a stick, then pulled, twisted and clipped into form, usually an animal of some kind and often intricate. Speed is necessary to the art since the sculpture must be completed before the candy cools and hardens again.

Amezaiku is actually the Japanese art of creating sculpture from taffy, not an actual recipe, so I guess the thing to do is to try some taffy recipes, try your hand at the sculpting, and see what happens.