You actually will want to avoid harsh chemicals and wet mopping for most bamboo floors, just as you would with hardwood flooring. The best way to keep the floors clean is to use a dry mop such as a Swiffer regularly. You can use a lightly dampened mop with a cleaner that is safe to use on hardwood, such as Murphy's Oil Soap, but as with most cleaners, test a small inconspicuous patch first. As bamboo flooring increases in popularity, more and more products will be available to clean them.