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This is a concept idea and is called the "Flip Flop Mops". It is an interesting idea, but I have seen similar type things and actually have some socks that claim to do this but not with mopping, just for cleaning up extra dust. I have never used them because the one time I did, it felt quite slippery and dangerous. These Flip Flop Mops look like they would be even more dangerous because if you are actually getting them wet to mop with them, you could easily slip on the wet floor. Overall, this doesn`t seem like a good design to me and I wouldn`t purchase them.
Image Source: http://www.ohgizmo.com/2006/07/17/flip-flop-mop-function-following-form/