Make the marinade: In a bowl, whisk together bourbon, honey, soy sauce, vinegar, Dijon, garlic, smoked paprika, red pepper flakes, olive oil, salt, and pepper until smooth.
Reserve some for glazing: Pour 1/2 cup of the marinade into a small saucepan, cover, and set aside in the fridge. This will become your glaze.
Marinate the chicken: Place chicken thighs in a zip-top bag or shallow dish.
Pour the remaining marinade over them, seal, and turn to coat. Refrigerate for 30 minutes to 8 hours.
Preheat the grill: Heat your grill to medium-high (about 425–450°F). Clean and oil the grates to prevent sticking.
Make the glaze: While the grill heats, bring the reserved marinade to a simmer over medium heat.
Cook for 3–5 minutes, stirring, until slightly thickened and glossy. Remove from heat.
Pat dry and season: Remove chicken from the marinade, letting excess drip off. Pat lightly with paper towels, then sprinkle with a pinch of salt and pepper.
Grill the chicken: Place thighs on the grill.
Cook for 5–6 minutes per side, turning once, until nicely charred and the internal temperature reaches 165°F.
Baste for shine: In the last 2 minutes of grilling, brush the thighs with the hot glaze on both sides to set a sticky, caramelized finish.
Rest and serve: Transfer to a platter, tent loosely with foil, and rest for 5 minutes. Squeeze with lime, sprinkle with herbs, and serve extra glaze on the side.