Swatter—I see you are mentioned in one of the books just published.
The player with the swatter runs on and places it in the hands of some other player.
One player carrying a swatter (belt, knotted towel, etc.), runs around outside of circle and places swatter in someone's hand.
Several leaves, tied to the end of a stick, are used as a swatter to catch fruit bats in flight: Caesalpinia nuga.
Killing enraged bees with a swatter or the end of a broom or plank was keen sport and one culled with knife edge excitement.
The player with the swatter follows the runner and swats him until he is back in position.