In a small bowl, whisk together honey, sriracha, rice vinegar, soy sauce, and lime juice until smooth. Set aside.
If chicken breasts are thicker than 1 inch, slice them horizontally in half. If thinner, gently pound with a meat mallet to even thickness (about 1/2 inch).
Pat chicken completely dry with paper towels. Season both sides generously with salt and pepper.
Pour flour onto a plate. Coat each chicken breast thoroughly with flour, shaking off excess.
Heat a large skillet over high heat. Add vegetable oil and wait until it shimmers.
Place chicken in the hot skillet (you should hear an immediate sizzle). Cook without moving for 4-5 minutes until golden brown.
Flip chicken and cook another 4-5 minutes until internal temperature reaches 165°F. Transfer to a plate.
Reduce heat to medium. Add butter to the same pan and let it melt and foam.
Add minced garlic and stir constantly for about 30 seconds until fragrant.
Pour in the prepared sauce. Let it bubble and simmer for 60-90 seconds, stirring occasionally, until slightly thickened and glossy.
Return chicken to the pan. Spoon sauce over each piece to coat. Turn off heat and let sit for 1 minute.
Transfer to serving plates. Spoon additional sauce over chicken and garnish with sliced green onions and sesame seeds. Serve immediately.