Ahh, yeah springback can be annoying with claptons, but it's largely preventable.
You have a wound-up spring wrapped around a solid core. While you're wrapping it, you're keeping it from releasing. As soon as you let go, it's free to expand across the core, and expand it does. This is why many people wrap the outer wire over itself at the beginning and end of each section of wire. If the wire shifts when you're wrapping it, it will pull the wraps in the core wire apart when you let off.
You can always do it like the pro's and just be very deliberate, taking care to hold the outer wire in place as you wrap. Personally, I find that really tedious and frustrating.
My end-all is even easier than overlapping and less prone to failure than being careful and deliberate.
Once you have a coil's worth of length made and cut, bend both ends a full 180 degrees back over themselves and crimp them as tight as possible with pliers. If your wraps are as tight as physically possible (which believe me, can be done easily and consistently with practice,) then that outer wire won't have anywhere to go and thus will not spring back.
You can test it by gripping the wire tight with one hand and pulling it with the other. If the core moves independently of the outer wraps, then you need to either try pushing the outer wire to its fully contracted position and clamping it further up while holding it in place or start over.
Once you have the coil finished, you can clip the bulk off of the leads. The section of the outer wire in the wraps of the coil should lock-in. The outer wraps stay close together as you wrap, so they don't have any room to expand once the coil is formed.
Try it! I promise that it will make wrapping your claptons much, much easier. When the outer wrap is secure, fresh clapton wire behaves more like bare wire, if only a bit stiffer. They become much more pliable and hold their shape much like a standard coil would. You can use the fold-and-push technique (wrapping hand right on the jig) and get consistent, secure wraps.
In addition to this, you can also use nichrome instead of kanthal. It's much more malleable than kanthal. I personally do not like the flavor profile of nichrome too much, but it is considerably easier to work with. That and color are probably the two main reasons why fancy builders use it almost exclusively.