Cook pasta as directed on the box. Reserve one cup of water, and set pasta aside.
In the same pot, melt butter over medium heat. Squeeze in the juice of lemon(s) and whisk together.
Pour half & half and cream together and whisk until hot. Dump in cheese and whisk until melted. Add salt and pepper to taste.
Check consistency and add hot pasta water until you reach your desired thickness. Stir in half of your basil.
Pour pasta and sauce into a large bowl. Add chicken, and sprinkle the remaining basil on top. ENJOY with some garlic bread.