Sounds like a loose screw on spin cycle

You may be right. a piece of something may have gotten into the space between the wash tub and the containing drum. So when the spin cycle starts and the drums move around a lot then it jars the piece into the space where it can hit both. Sounds like you need to remove the wash drum and get the thing out. ...Did that sound easy? It's not... Search for instructions for disassembling your specific model to get a feel for the difficulty. If it is a front loader I would not even try it.

More than likely it's something like a wire from a brasiere, or something from a pocket that has dropped into the drum..
Use a torch, and look through the holes in the drum until you see the object.. then use a thin wire through the holes, to poke it to the front, if you remove the seal, or poke it towards the drain outlet, then clean out the pump filter.