Thread 1 mozzarella ball half, 1 tomato half, and 1 basil leaf half on a wooden toothpick. Repeat to create the remaining skewers.
Arrange on a platter
Place the caprese skewers on a platter and drizzle with the oil. Season generously with salt and pepper and serve. (The skewers may be covered and refrigerated for up to 2 hours; serve chilled or at room temperature.)