Whisk together all marinade and sauce ingredients in a medium bowl. Set aside about one-third of the mixture for later use.
Pour two-thirds of the marinade over chicken strips in a freezer-sized bag. Toss to coat and marinate in the refrigerator for at least six hours or overnight.
Soak wooden skewers in water for at least thirty minutes. Thread marinated chicken onto skewers.
For oven: Preheat to 350°F, line baking sheets with foil, spread chicken, and bake for 15-20 minutes until cooked through. For grill: Heat grill, add skewers, and grill for 3-4 minutes per side. For skillet: Heat olive oil and cook skewers for 2-3 minutes per side.
In a small saucepan, combine reserved marinade/sauce with another 1/4 cup of coconut milk. Bring to a boil, then simmer for one minute. Stir in peanut butter until combined.
Serve warm chicken skewers with peanut sauce as an appetizer or with rice and veggies for a main course.