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.
Repeat the application of BBQ sauce to the chicken every 5 minutes until the chicken is cooked through. Standard chicken breasts take a total of 35-40 minutes, so 4-5 brushings with the sauce should do ya. Return to the oven and repeat brushing with BBQ sauce every 5 minutes until the chicken is cooked through, about 15 to 20 minutes longer. 2  Chicken is done when it reaches an internal temperature of 165 degrees F when read with a thermometer inserted into the thickest part of the breast.