Read the instructions that came with your sapphire-glass item. The manufacturer of your aquarium, watch or camera may have special recommendations for what will work with your sapphire glass best.
Purchase a soft microfiber cleaning cloth that is designed to be used on sapphire glass. You can find these online at specialty dealers. These cloths are manufactured to be safe on the sapphire glass, as well as keep the glass' anti-shine coat intact.
Rub the surface of the glass gently, using circular motions to remove any smudges you can see. You don't need to use any cleaning solution; they can weaken your sapphire glass.