Following a circular guide layer with a classic tween

If you're working in a Canvas document, then yes. That is the same library that Animate internally uses itself for most tweens.

So for example if you had a movieclip on your stage named thing, and three buttons named btn1, btn2, btn3 (optionally arranged around it in a triangle pattern), this code would make it spin by clicking the buttons:

var root = this;
this.btn1.on("click", doBtn1);
this.btn2.on("click", doBtn2);
this.btn3.on("click", doBtn3);
function doBtn1() {
    spinTo(root.thing, 0);
}
function doBtn2() {
    spinTo(root.thing, 120);
}
function doBtn3() {
    spinTo(root.thing, 240);
}
function spinTo(clip, angle) {
    createjs.Tween.get(clip).to({"rotation": angle}, 500, createjs.Ease.backInOut);
}

Note that this example doesn't optimize the spin direction, meaning if you try to rotate from 350 to 0, it will take the long way around. This is pretty easy to fix, but does take more code.

Well okay, it takes exactly this much more code:

function spinTo(clip, angle) {
    if (Math.abs(clip.rotation - angle) > 180) {
        angle += clip.rotation > angle ? 360 : -360;
    }
    createjs.Tween.get(clip, {override:true}).to({"rotation": angle}, 750, createjs.Ease.backOut).call(spinDone);
}
function spinDone(evt) {
    evt.target.rotation = evt.target.rotation % 360;
}