Cork is excellent for ergonomics (the standing/work environment) however, Aja is right about the durability. The wet environment and high traffic will show in time and you will find that you go through your replacement tile supply.

Talk to your supplier about environmentally friendly sealants for kitchen use to see if you can extend the life of this product. You could try adding floor mats at your heavy work areas to extend the life of the tiles beneath. But waterproofing or an environmentally friendly sealant will be helpful to reduce your need replacement and maintenance.