Process basil, Hellmann's® or Best Foods® Mayonnaise Dressing with Olive Oil, water, vinegar and garlic in blender or food processor until smooth; set aside.
Toss cherry tomatoes with 1 tablespoon basil dressing. Skewer 2 tomatoes on each skewer* and arrange on baking sheet lined with parchment paper or aluminum foil. Broil tomatoes, turning once, until slightly charred and tender, about 2 minutes. Remove to serving platter, then add cheese to each skewer. Drizzle with remaining dressing.
*If using wooden skewers, soak at least 30 minutes prior to use.