Why am I seeing variations in the reflected laser light when I look at the reflection from a diffuse surface?

Here is the experiment. I reflected my tripod laser off of a CFB at my home. I noticed a strange effect and turned the light out to see it better. As I looked closely, I could see small variations in the reflected light. They looked like tiny points of light within the reflection. My first feeling is that it was an effect of the light hitting the photo receptor cells on my cornea. The problem with that was that as I move one way or another, or change the angle of view, I am moving along with the reflected dots. Has anyone seen this in a lab somewhere?