If you mean you want to use comp lights and animate their position, that's no problem. Just check the "use comp lights" feature, in the effects panel. Add one or more comp lights to your scene then animate the position, point of interest and other attributes for your lights. The changes you make will be seen on the Invigorator objects.
If you mean you want to animate visible light sources, that's another matter. Tell us more about the look you're going after and we may be able to help.