Heat the butter and oil in a large Dutch oven over medium-high heat. Add the onions, celery, and thyme leaves, then cook, stirring often, for 7-8 minutes, or until the veggies are tender.
Add the shredded carrot and minced garlic, then cook, stirring constantly for 30 seconds.
Add the flour and cook, stirring constantly for 1-2 minutes.
Slowly add the chicken broth while stirring, then bring to a gentle boil, then reduce the heat to low.
Add the half & half, chicken, and gnocchi, and cook for 7-10 minutes, stirring occasionally.
Add the spinach and stir to combine. Taste and re-season with sea salt and freshly cracked pepper to taste.