Jim,
The best you can do with chrome that has some rust is reduce the rust. However, don't use anything that contains acid (e.g., phosphoric acid) it is not compatible with chrome. Naval Jelly for instance is a mild phos. acid and it specifically warns against using it on chrome parts. There are probably other methods, a search here would reveal them, but I have used on very fine steel wool and WD-40 to remove and reduce rust on chrome, then clean and polish.