Combine the chile, scallions, thyme, vegetable oil, brown sugar, vinegar, allspice and cloves in a large bowl and mix until the sugar dissolves. Stir in 1 1/2 teaspoons salt and a few grinds of pepper. Add the chicken and massage the marinade into the meat, 1 to 2 minutes. Cover and refrigerate at least 8 hours or overnight.
Preheat a grill to medium. Oil the grates. Remove the chicken from the marinade, shaking off any large pieces of chile or scallion. Season all over with salt and pepper. Grill, covered, turning often, until the chicken is browned and cooked through, 20 to 25 minutes. Serve with lime wedges.