For the dipping sauce, mix the honey mustard and sour cream in a small bowl. Cover and refrigerate until needed. This sauce can be made up to 2 days in advance.
In a small bowl, whisk together all marinade ingredients; set aside.
Cut each chicken breast lengthwise into 4 long, thin strips. You should end up with about 12 strips. Place the strips into a gallon-size zip-top plastic bag. Pour the marinade mixture over the chicken, and close the bag. Then flip the bag a few times to ensure that all pieces are coated with marinade, and refrigerate for at least 4 hours or overnight.
When ready to cook, transfer the chicken to a colander to drain off excess marinade. With clean hands, skewer each piece of chicken, threading it onto the end of a skewer. Continue until all of the chicken pieces are skewered.
Preheat the grill or grill pan to medium heat. Cook for about 2 1/2 minutes on each side, testing chicken for doneness before serving (meat should be opaque). Transfer skewers to a clean platter.
Remove the chicken from the skewers, if desired. Serve chicken while hot with the dipping sauce alongside.
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