Spray a liberal amount of Whoosh Screen Shine on the surface of the display.
Take a new microfiber towel, fold it in half and then fold it again, and gently, with no pressure, slide it over the surface of the display to remove any lingering debris.
Use the Giottos Rocket Air Blaster to blow air on the surface of the display to move or dislodge any debris.
I use the Rocket Air Blaster as a pre-cleaning step for cleaning my MacBook’s screen.
Do you have a hard time keeping your MacBook display clean, or do you have a working cleaning method in place?