LOL! I LOVE that idea! I do that in my own home, if I have just mopped a floor and forgot to get something. Thanks. I do not normally bring a towel but I surely can do this. The odd thing is that the customer doesnt even CARE about the water marks. Only I do, being somewhat of a perfectionist.
By the way, I do not use an ordinary mop, one you can wring out. Ugh! All they do is spread dirty water around! I use a Swiffer mop, but not their icky damp cloths. Ordinary washcloths (white) fit on the mop head perfectly. I mop a smallish area, and when the cloth is still white, it is clean. My customers love the fact that I care about their floors this much.