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.
Chicken legs should be cooked for approximately 20 to 25 minutes while on the grill. It is advised to use a food thermometer to ensure the chicken cooks thoroughly and reaches the appropriate temperature of 165 degrees Fahrenheit.