Stir in the kale a few handfuls at a time, until it is all wilted and fits in the skillet (this may take a few minutes). Let cook, stirring very frequently, until the kale is tender, about 6 additional minutes. Stir in the garlic and cook 1 additional minute.
Stir in the chicken. Next, stir in the balsamic vinegar, sage, thyme, and cranberries. Crumble half of the goat cheese over the top, then stir so that it melts and becomes creamy. Taste and adjust seasonings as desired. Sprinkle the remaining goat cheese over the top, then serve hot over rice.
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