Those clay scraps left from throwing and trimming the pots are put in basins and left to dry off to the side. They go from bone dry clay, to slaked with water till mushy, then they're allowed to firm up to still too soft, but almost workable.
To recycle, it's scooped out blob by blob and put on plaster batts to pull out excess water. As soon as the clay is not too super sticky, it's wedging time.
Off to take a couple of Advil.