1. Combine basil, garlic, salt, pepper, and lemon juice and let the chicken marinate in the mixture for approximately 30 minutes.
2. Place the chicken on skewers. Grill on medium-high for four minutes per side, six if you like your chicken very well done. If making in the oven, preheat to 400 degrees Fahrenheit and place chicken on a lined cookie sheet. Bake for 20 minutes, flipping after 15.
3. Place dressing ingredients in a blender and blend until smooth and creamy. Drizzle over chicken.