In a small saucepan combine honey, coconut aminos, sesame oil, rice wine vinegar, ginger, and Sriracha. Bring to a boil and simmer while preparing the chicken, about 10 minutes. Season to taste with salt and pepper.
To make the chicken:
Meanwhile, In a large skillet over medium-high heat, heat olive oil until shimmering. Add onion and cook until softened, about 3 to 5 minutes. Stir in garlic until fragrant, about 30 seconds.
Add chicken and stir, breaking up with a spoon, until browned, about 3 to 5 minutes. Stir in chestnuts and green onion and cook until tender, about 1-2 minutes.
Pour sauce over chicken and stir to combine. To serve, spoon several tablespoons of the chicken mixture into the center of the lettuce leaf, taco-style.
To make the dipping sauce:
Combine dijon mustard, honey, and sambal oelek in a small bowl and whisk to combine.