Hamilton expressed his displeasure with Tichenor as he left the batter's box and the two had what appeared to be a measured conversation.
But Hamilton had a few more words to say to Tichenor while walking away, and was thrown out of the game.
Patrick Kivlehan replaced Hamilton in the bottom of the fifth.
"There was certainly frustration there that inning that the zone was a bit bigger, it seemed like," Reds manager Bryan Price said. "I know that Tucker [Barnhart] had some issues with it as well as some of the other guys. That's baseball."'
Mark Sheldon has covered the Reds for MLB.com since 2006, and previously covered the Twins from 2001-05. Follow him on Twitter @m_sheldon and Facebook and listen to his podcast. This story was not subject to the approval of Major League Baseball or its clubs.