Bring a large pot of salted water to a boil. Cook the pasta according to package directions until al dente, then drain and set aside.
Heat 1 tablespoon of olive oil in a large skillet over medium-high heat. Add the chicken pieces, season with salt and pepper, and cook until browned and cooked through, about 6 to 8 minutes. Remove the chicken to a plate.
Lower the heat to medium and add the remaining tablespoon of olive oil to the same skillet. Stir in the garlic and cook for 30 seconds until fragrant.
Add the halved cherry tomatoes to the skillet. Cook for 4 to 5 minutes, stirring occasionally, until the tomatoes soften and release their juices.
Return the cooked chicken to the skillet and add the drained pasta. Toss everything together to coat evenly.
Remove the skillet from the heat. Stir in the mozzarella cubes and torn basil until the cheese just begins to soften.