In a bowl, combine the chicken strips with 2 tablespoons soy sauce, 1 tablespoon lime juice, minced garlic, grated ginger, and brown sugar. Toss until the chicken is evenly coated and set aside for 10 minutes.
While the chicken marinates, stir together the peanut butter, coconut milk, remaining 1 tablespoon soy sauce, remaining 1 tablespoon lime juice, and sriracha in a small bowl until smooth.
Thread the marinated chicken strips onto the soaked skewers, fanning the strips slightly so they resemble wings.
Heat a large skillet or grill pan over medium-high heat. Cook the skewers for 3 to 4 minutes per side until the chicken is cooked through and lightly charred.
Transfer the skewers to a plate, sprinkle with chopped peanuts and cilantro, and serve with the peanut sauce on the side.