2 pounds bone-in, skin-on chicken thighs or drumsticks (6 to 8 pieces)
Salt
2 tablespoons neutral oil, such as grapeseed or canola
1 pound shallots (about 8), peeled and halved, quartered if large
3 tablespoons honey
2 tablespoons lime juice
1 garlic clove, minced
1 fresh hot chile, such as Thai, Scotch bonnet or serrano, minced with or without seeds
1 tablespoon sherry vinegar
½ cup fresh flat-leaf parsley leaves
Pat the chicken dry and season all over with salt. Heat 1 tablespoon oil in a large skillet over medium. Add the shallots and cook, turning frequently, until lightly caramelized on all sides, about 5 minutes. Transfer the shallots to a medium bowl and set aside.
Add the remaining 1 tablespoon oil to the skillet, and raise the heat to medium-high. Place the chicken skin side down and sear without moving until the skin is golden brown, about 10 minutes. Turn and cook the other side until lightly browned, about 5 minutes.
Reduce heat to medium-low, and add 1/4 cup water to the skillet. Use a spatula or tongs to loosen any stuck bits. Stir the honey, lime juice, garlic and chile into the liquid around the chicken pieces. Cover with a lid or foil, and cook until the meat is cooked through, about 8 minutes. Uncover, raise the heat to high and cook until the sauce is thickened, about 2 minutes more.
Toss the shallots with the sherry vinegar and parsley, and season with salt. Serve the chicken with the dressed shallots and spoon the pan sauce over everything.