Reflection of keychain LED light on Macbook Pro (2014) screen
I have also observed this phenomenon on my mobile phone and on a tablet. I assume this means it is somehow related to backlit screens.
The further the light source from the screen, the more separation that is observed.
Each distinct reflection appears to be the result of a prism with imperceptible depth.
This is not repeatable on other common reflective surfaces, so I assume it is a property of some material or materials in this particular class of technology.
Clearly the image does not fully represent the observed phenomenon, but it was the best I could capture with the equipment I have on hand.
The photograph was taken with a mobile phone camera.
Please feel free to experiment with your own materials.