My experience comes not from running chains but from working around tile. The focused pressure from a hard source like chain would concern me. You may scratch your tile. A greater concern would be actually breaking the tile. You have a very hard and non-pliable surface at a very low temperature which could make it more susceptible to breakage. If there is any void under one of the tiles this chance is multiplied.
I hope you get responses from some who are already experienced in doing just what you are thinking of doing.:dunno:
I hope you get responses from some who are already experienced in doing just what you are thinking of doing.:dunno: