have a try at (someone)

To make an attempt to best, defeat, or assault someone. Watching him smile that smug, self-important smile, I thought to myself how much I'd love to have a try at him—one on one, with nothing but our fists! A: "This doesn't seem like any ordinary thief. He's always one step ahead of us." B: "Let me have a try at him, Chief. I think I can bring him in." She made a name for herself as one of the best racers in the world in the span of just one year. Now, every professional worth their salt wants to have a try at her.