"I thought it was going to be worse, to be honest with you," Clarkson said. "But, you know, it is what it is now. So I've just got to move past it."
Clarkson and Dragic collided several times while fighting for position under the basket during the third quarter of Friday's game. Clarkson finally knocked down Dragic with a blow to the head.
Teammates and officials kept the two apart following the scuffle and Clarkson and Dragic were both ejected.
Clarkson denied there was any particular challenge to not getting drawn into shoving matches or other altercations with rival players.
"In the heat of the game, stuff happens," Clarkson said. "It's kind of one of those plays [where] I kind of reacted."
Dragic scored 16 points before getting tossed.
Information from ESPN's Jovan Buha was used in this report.