First, use a soft mop to clean the dust every day, or enough to sweep (using a broom made from soft), to prevent scratches on the floor;
Second, put your feet on the door mat, in order to reduce dust when someone enters the room;
Third, use a few drops of detergent or ¼ cup of vinegar and half a bucket of water to mop the floor, wring mop up a half-dry, if too much water content in the mop will damage the floor.
If you feel do not have time to use simple ways you can buy the products specifically recommended for cleaning bamboo flooring.
