Stir the maple syrup, garlic, thyme, 1 tablespoon salt, a generous grind of pepper and 3 cups of water together in a large bowl until the salt is dissolved. Add the chicken, making sure it's completely covered by the brine. Cover and refrigerate for 2 to 3 hours.
Prepare an outdoor grill or grill pan for high heat.
Drain the chicken and pat very dry. Lightly oil the grill grates and grill the chicken, flipping occasionally, until no longer pink near the bone, 15 to 20 minutes (depending on the size of the chicken pieces). Serve with a salad, wedges of cornbread and/or your favorite barbecue sauce on the side.
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