Directions. 1  In a heavy-bottom 4-quart pot, heat butter and olive oil over medium heat. Saute leeks 5-7 minutes, until tender. 2  Add cucumber and chicken stock. Simmer until cucumber is softened (about 6-8 minutes). 3  Pour small batches of cucumber soup into a blender and puree until smooth.
Grill for 5-10 minutes, depending on how hot the grill is (you do not want the chicken to burn). Once you have a good sear on one side, move the chicken pieces to the cooler side of the grill.
Season the chicken with salt and pepper, to taste. Put the chicken on the grill or, if broiling, put it on the prepared baking sheet. Grill or broil, 4 inches from the heat, turning once, for 10 minutes per side. Put 1/2 of the BBQ sauce in a small bowl, for drizzling and serving. Reserve.