In a bowl, combine the flour, salt, and black pepper. Dredge the chicken strips in the flour mixture until well coated.
Heat the vegetable oil in a large skillet or wok over medium-high heat. Add the chicken and cook for about 5-7 minutes, or until golden brown and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the broccoli, bell pepper, and snap peas. Stir-fry for about 3-4 minutes until the vegetables are tender-crisp.
Add the minced garlic and cook for an additional 30 seconds until fragrant.
In a small bowl, whisk together the soy sauce, lemon juice, honey, and cornstarch mixture. Pour this sauce over the vegetables in the skillet.
Return the cooked chicken to the skillet and stir everything together. Cook for another 2-3 minutes until the sauce thickens and everything is heated through.
Drizzle with sesame oil before serving. Serve over cooked rice or noodles.