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While this is a pattern for a potholder, it could be used as a motif used for something else; the two-colour spiral is attractive in its own right.

While this is a pattern for a coaster, the spiral design could be used as a motif for something else also

This makes a quick double-thick potholder. The technique involves doing single-crochet into the back loop AND the back loop of the row below. This makes the cloth double-thick because the single crochet rows overlap each other. While this is officially a pattern for a potholder, it would work for a facecloth as well, being thick and soft.

Four-colour spiral crochet with the outer edge crocheted in a fifth colour.

This looks very cool, though I'm not sure how practical it is.

Pattern for making a spiral scrubbie (based on the Japanese Tawashi) (See also Video tutorial: https://www.youtube.com/watch?v=J84jxmGMV5Y)

Nice scalloped edge dish cloth pattern.

Make a dishcloth out of dishcloths (in this case, Chux SuperWipes) by cutting into 1-inch strips and tying together and knitting into a dishcloth. (Or crocheting would do as well)

This tutorial just uses stones and felt.

I've also seen a suggestion that one could stiffen up the trivet by sandwiching a CD in between the two pieces of felt. Though that would make something closer to the size of a coaster than a trivet.

One could also use those flat glass pebbles instead of stones.

Simple rectangle with a loop to hang it from. After all if one can use steel wool to scrub pots, why not use actual stainless steel?

Decorate a rubber grip-mat with a crocheted edge.