Thompson cleared waivers Saturday and was sent outright to Double-A Chattanooga, C. Trent Rosecrans of The Athletic reports.
Thompson was pushed off the 40-man roster Thursday but will remain within the Reds organization after going unclaimed off waivers. He is slashing .200/.243/.314/ across 37 plate appearances since being sent down to Double-A and could reach Triple-A if his hitting improves, though a return to the big leagues seems unlikely at the moment.