A common shop repair is fixing spindles in a chair that have loosened up. When the end of the spindle is too small for the hole, a good fix is to simply wrap and glue thin veneer around it. To hold the veneer in place while the glue dries, use an automotive hose clamp. Once done, you can either rebore the hole or shave the spindle end for a snug fit.
Chair Spindle Fix
