Heat the ghee in a medium pot over medium heat. Add the diced onion, carrots, and celery, sautéing for 5-7 minutes until the vegetables begin to soften.
Stir in the minced garlic, sea salt, black pepper, and fresh thyme, cooking for another minute until fragrant.
Pour in the chicken bone broth and add the whole chicken breast. Bring the liquid to a gentle simmer, then cover and cook for 12-15 minutes until the chicken is cooked through.
While the chicken simmers, prepare the dumpling dough by mixing the cassava flour, Greek yogurt, water, and fresh parsley in a small bowl until a thick, sticky dough forms.
Remove the chicken breast from the pot and set it aside on a plate to shred into bite-sized pieces using two forks.
Using a small spoon, drop rounded teaspoons of the dumpling dough into the simmering broth. Cover the pot tightly and steam the dumplings for 5 minutes without lifting the lid.
Return the shredded chicken to the pot, gently stirring to combine without breaking the dumplings. Serve immediately in a deep bowl.