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Whisk together the lime juice, fresh tarragon, olive oil, onion and hot pepper sauce. Pour the mixture into a resealable plastic bag.
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Season the chicken thighs with the kosher salt and ground black pepper. Add them to the marinade, seal the bag and refrigerate them for at least 4 hours.
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Light a charcoal barbeque or heat a gas grill for medium heat. Lightly oil the grate.
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Remove the chicken thighs from the marinade and shake off any excess. Grill the thighs for about 30 minutes, turning occasionally, until they are cooked through and no longer pink in the center by the bone.