I'm not quite sure if this tip will prove helpful or not, but I usually clean my screen with a slightly dampened t-shirt, making sure to use the dry side of the shirt to give it a glossy shine ^____^ It has helped me significantly so far and I don't have any worries since I'm pretty sure the water I use contains no abrasive solvents.
This has worked for me with hanes or fruit of the loom type undershirts, (laundered of course) 100% cotton and DISTILLED water.