Rubber flooring is great! It's used in places from gyms, to commercial kitchens, residential bathrooms, and factories and warehouses. It's a low-maintenance product, which is one of the reasons it's popular. But regardless of where you have rubber flooring placed, there are some basic care guidelines you need to follow in order to keep it in top-notch shape.
First, always read the manufacturer's instructions on care and maintenance of your floor and follow those guidelines first and foremost because using incorrect cleaners or applying harsh chemicals could void your warranty.
So if you've just had your rubber floor installed, you'll want to wait at least 72 hours before you clean it to give the adhesive plenty of time to cure. Then you just want to sweep or vacuum up dirt and debris, just as with any floor.
To clean and disinfect, do the whole bucket of warm water thing, adding a few squirts of dishwashing liquid or a gentle cleaner (don't use acidic solvents or oil-based cleaners such as Pine-Sol to clean your rubber floor) and mop away. Don't let the floor get too wet or stay wet because it can cause problems with the adhesive. Also make sure your water doesn't get too dirty as you go along. When you're done, rinse the area with fresh water and then either wet-vac it up or dry with towels.
You can bring back the floor's original shiny finish by applying a rubber flooring conditioner and buffing it in. You can use one of those rented floor buffers, but it should rotate at no more than 350 rotations per minute to keep from damaging the floor. Or if you don't want to spend a lot of money on such a conditioner and a buffer, you can also use a product like Mop & Glo (diluted) or some powdered fabric softener mixed in a good amount of water.
For stains and spots that are tougher to remove, you can use a gentle plastic scrub brush and some soapy water, or take a look at your floor's manufacturer's instructions for tips. But never use acetone or turpentine on a rubber floor—it will never be the same again.