The Taser had no effect, and the officers wrestled him to the ground to handcuff him, police said.
Narramore, who complained at the scene of chest pains, was evaluated by paramedics before being booked into the Kingsport City Jail. He was released the next day after posting $2,250 bail.
The Lexington Herald-Leader reported that Narramore resigned his post with the Republican Party's Letcher County branch following the arrest.
"Dr. Narramore is clearly going through some personal issues," Tres Watson, communications director for the state GOP, told the Herald-Leader. "We wish him well as he attempts to deal with (his) personal struggles."