Max - Chrome is one of the hardest metals (coating) known to man - you will not scratch it with SOS or steel wool. I've done it a million times cleaning rust off everything from head pipes to an old set of chrome wheels I had on my toyota to chrome bumpers.
Just a heads up! - oh - also - SOS is great for taking oxidation off of old aluminum stuff - brings a shine to it even (like aluminum triples or motor cases).
RIP - Yamahondaman!! You will never be forgotten!
RIP - Sam Brehm!! Gone but NEVER forgotten!
RIP - Sandpuppi101 - You will live on in my mind - I miss you friend!