How to Make It
Light a grill or preheat the oven to 325°. Grill the garlic heads over moderately low heat for about 45 minutes, turning frequently, until softened and browned. Alternatively, wrap the garlic loosely in foil and roast in the oven for about 1 hour, until the cloves are tender.
If using an oven, increase the temperature to 450°. Bring a medium saucepan of lightly salted water to a boil over high heat. Add the potatoes and cook until just tender, about 5 minutes; drain and pat dry. Brush the potatoes with 1 1/2 teaspoons of the olive oil and thread 4 potato halves on each of 4 metal or bamboo skewers.
Grill or roast the potatoes for about 10 minutes per side, turning once, until tender and lightly charred. Sprinkle with the thyme, season with salt and pepper and keep warm.
Rub the chicken breasts with the remaining 1 teaspoon olive oil and season with salt and pepper. Grill the chicken for about 12 minutes, turning occasionally, until lightly charred on both sides and cooked through. Alternatively, cook the chicken on the stove in a preheated grill pan over moderately high heat, turning once, for about 4 minutes on each side.
Transfer the grilled chicken to plates and add a roasted head of garlic and a potato skewer to each serving. Garnish each plate with a rosemary sprig and serve with the Chipotle Chutney on the side.