This looks so sick! I personally think that giving the chains a bit more wave-type animation would be good. Also, which easing style are you using for this, since it doesn’t look like the normal one?
Ah, I see. The animation’s movement on the X and Y axis is pretty fluid, however some more movements on the Z axis could be added. Just to make it fluid overall. Otherwise, absolutely amazing work. Keep it up.
I don’t think you should use IK for these kind of animations, it limits it a lot. On Rigs, it would be nice, but on an object like yours, which you don’t need to express shifting of weight onto a different part/other properties on, since it’s floating in air, it would be better to just animate it without it.