Place chicken in shallow casserole. Combine olive oil, soy sauce, honey, thyme, paprika, cayenne pepper, vinegar, allspice and pepper and pour over chicken. Marinate in refrigerator for about an hour. Prepare grill. Remove chicken from marinade and grill until cooked through, basting periodically with marinade. Pour remaining marinade in saucepan, add mushrooms, and simmer for a few minutes. Spoon over grilled chicken breasts. Serves 8.