Hi -
Since the Indirect Lighting Cache uses samples generated by Lightmass at build-time to calculate the indirect lighting for dynamic objects at runtime, the only way to force all movable meshes in the world to update would be to invalidate the lightmass build. At that point you would probably want to switch to dynamic lighting anyway since Static elements would be light improperly. You could try tightening the volume samples, but there will be a performance cost for increasing the samples too high. You can alter this in World Settings, under Lightmass, Volume Light Sample Placement. It defaults to a value of 1.0, lower values will give you more samples and high fidelity, but at the cost of increasing the sample update times.
Thank You
Eric Ketchum