I have a favorite chair that is made out of a velvet sort of material which is very smooth in one direction and grips your hand like a cat's tongue in the other... one swipe on that thing and the phone is ridiculously shiny! I find that the chamois provided with the phone takes a lot of wipes to get things off the phone... stuff that I swear was never on my hands.
The stuff works flawlessly. I had tried spit and water, followed by wiping with the small black cloth that came with the iPhone = no luck. Still left smudges and smears.
Sprayed the Monster Screencleaner (found it at Best Buy and use if for my computer screens and tvs) wiped it off with cloth that came with spray = looks pristine!