Preheat air fryer to 400°F (200°C) and pat the chicken wings completely dry with paper towels to ensure maximum crispiness.
In a large bowl, toss the wings with arrowroot powder, sea salt, and black pepper until evenly coated.
Place wings in the air fryer basket in a single layer and cook for 20-25 minutes, flipping halfway through, until the skin is golden and crackling.
While wings cook, combine honey, tamari, sesame oil, minced garlic, and grated ginger in a small saucepan over medium-low heat.
Simmer the sauce for 3-5 minutes until it thickens into a glossy, sticky glaze.
Transfer the crispy wings to a clean bowl, pour the warm honey-garlic sauce over them, and toss thoroughly to coat.
Garnish with sesame seeds and sliced green onions, then serve immediately with fresh cucumber slices on the side.