I have the magnetic geckos on my sliding screen door. They are cute but they would cause problems if the screen was rolled up with them on. You could remove them before rolling up the screen. Perhaps a piece of white embroidery thread could be woven across the screen at a persone's eye level and pets eye level? It is tricky to weave thread through screen and you really need one peron on the inside and another on the outside passing the needle back and forth. It wouldn't hurt the screen to be rolled up with the thread woven through the weave.