This year I bought a flip case that has a cover over the screen--but nothing directly applied to the screen itself. It protects the screen from everyday friction from sliding across tables, etc which should prevent light scratches.
However, it's a little risky since if I drop the phone I imagine it may land face down with the flip cover--well, flipped away from the screen. I've got insurance for drops so I'm taking a chance.
The screen is so gorgeous I don't want to cover it with a cheap protector that makes it look like plastic and the expensive protectors like Whitedome make no sense to me.