Soak wooden skewers in water for 30 minutes to prevent burning.
In a large bowl, whisk together oil, soy sauce, honey, turmeric, cumin, and coriander.
Add chicken strips to the marinade and refrigerate for at least 30 minutes.
Thread the marinated chicken onto the skewers in a zigzag pattern.
For the sauce: combine peanut butter, coconut milk, lime juice, brown sugar, and curry paste in a small saucepan over low heat.
Whisk sauce constantly until smooth and thickened, then set aside.
Preheat a grill or griddle pan to medium-high heat.
Grill the chicken skewers for 3 to 4 minutes per side until charred and cooked through.
Serve warm skewers with the peanut dipping sauce on the side.