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Re: Tempered Glass Screen Protector. I used to have one for my iPhone. They don't come off for cleaning or re-use but they're smoother than any plastic or vinyl screen protector. Ordered one for my white GS3.
Sometimes just adding a screen protector is enough to hide small scratches. If not and your daring there are glass polishes you might try like Cerium Oxide. Mix it with just a little water sot it not clumpy and not runny and use that to buff out the screen.