In a large deep pot heat olive oil over medium heat. Add the onion, celery, garlic, and carrot and sauté until onion is translucent.
Add the chopped cooked chicken, chicken stock, salt, pepper, and thyme. Bring to a boil. Add the gnocchi. Gently boil for 4 minutes, reduce heat and simmer for 10 minutes.
Add the half and half and spinach and cook for another 1-2 minutes until the spinach is wilted.