We made reusable swiffer clothes out of microfiber dusting clothes and cloth diapers. The microfiber clothes are amazing at caching dust, and the diapers are so absorbent. Put them together and you have a great wet or dry cleaning rag that can be washed and used again and again. Use the microfiber side for dusting your floors and the diaper side for a quick wet mop. We like to spray the floor with our all purpose cleaner spray and then mop away.
We simply cut the diaper into thirds and sewed one third to the center of a micro fiber cloth using the zig-zag stitch of our sewing machine. Three reusable cleaning cloths were made in about 5 min. You don't need to measure or even pin the cloths before you sew them. If you have a swiffer wet jet Velcro can be added to hold your cloth on.
The one thing you should note about the microfiber clothes is that they should not be bleached or dried in the dryer. You should also not use fabric softener on them. If this is too inconvenient use a washcloth instead. We find that they work so well that it is worth the slight hassle.