What render engine are you using to produce this animation, and what technique did you employ to make those 'bumps' or voxels in the surface?
Is it actual modeled geometry, or is it just bump mapping? Perhaps a or normal map or use of displacement?
How did you model the underlying sphere geometry?
It looks like it is updating lighting in real time, what you are seeing is just an artifact of smooth shading on a low number of subdivisions.
It looks like you are using an icosphere and since this sphere seems to have an insufficient number of subdivisions what you are seeing may be the result of Blender shading a larger flat face, and light just seems to 'stick' to it instead of accompanying the curved surface our eyes are led to believe is there through smooth shading.
With the rotating motion light just seems to jumps as reaches or stops reaching these large flat faces.
Can you post a blend file we can look at, it's hard to tell for sure just looking at the video. Or perhaps a wire-frame image of your viewport.
I would recommend trying to increase the number of subdivisions on the base geometry of your sphere and see if it improves.