To prepare chicken: Whisk 3 tablespoons lime juice, oil, 2 teaspoons soy sauce, fish sauce and 1/2 teaspoon red pepper in a shallow dish until combined; add chicken and turn to coat. Let marinate in the refrigerator for 15 minutes.
To prepare peanut sauce: Whisk peanut butter, coconut milk, lime juice, soy sauce, brown sugar and red pepper until smooth.
Preheat grill to high. Thread each chicken tender onto a wooden skewer. Grill until cooked through and no longer pink in the middle, about 3 minutes per side. Serve warm or chilled with Spicy Peanut Sauce.
Prepare Chicken Satay with Spicy Peanut Sauce as directed. Remove the chicken from the skewers and cut into strips. Divide the sauce among 4 small condiment containers with lids and refrigerate until ready to use.
To prepare slaw: Toss cabbage, bell pepper, carrots and green onion in a large bowl. Divide the slaw among 4 single-serving containers with lids. Top each with one-fourth of the chicken and 1/2 tablespoon sesame seeds. Dress with the reserved sauce just before serving.