Quiver plots currently have a set_UVC method which lets one animate the direction that the arrows point. Unfortunately, they do not have a set_XY, so one cannot animate the location of the arrows.

This limitation makes is hard to make things like: (An animation of elliptical polarization)

without resorting to simply clearing the axis, and redrawing everything on every frame. This annoyance get's compounded with even more complex animations.