Use those soapy 0000-steel wool pads from a hardware store (oven cleaner pads), they will clean chrome real nice without leaving a scratch. just soak them in water and go at it, with light to medium pressure.
also works well on aluminium (aluminum?), to knock down white oxidation, but on soft aluminium, brass, or paint there is more abrasion involved, even though its still minuscule..
but for refreshing blind or dull chrome, and knocking down light rust, steel wool pads are great!