Heat olive oil in a stock pot over medium heat; add celery, onions, garlic, and carrots; sauté ~3 minutes, until onions are translucent.
Add chicken, chicken broth and thyme to stock pot; bring to a bubbly boil; add gnocchi; boil ~3 minutes; reduce heat to low; simmer uncovered 10 minutes.
Stir in half & half and spinich; cook ~2 minutes, until heated through.