I agree...... small screws.
We installed some of those once upon a time. Oddly enough before we stopped using them we would stick a zip screw along the front in to the gutter lip because we were getting call backs that screens had flipped open. Don't know if it was squirrels or wind blowing them open.This type has clips that act like hinges, allowing the guard to be flipped out of the way for cleaning; http://www.egutter.com/GUTTER-GUARD...R-HELMETS-GUTTER-TOPPERS/Hinged-Gutter-Guards
I'm not affiliated with this company, just using as an example.