Cook bacon in Dutch oven or soup pot over medium 6-8 minutes until crisp. Remove with slotted spoon, leaving 1 tablespoon drippings.
Melt butter in pot; cook onion and celery about 5 minutes until softened, then garlic 1 minute.
Sprinkle in flour; stir and cook 2 minutes to form roux.
Gradually add broth, stirring constantly to prevent lumps. Add potatoes, 4 cups corn, thyme, paprika, and bay; boil.
Reduce to medium-low; simmer 15-20 minutes until potatoes tender.
Remove bay; carefully immersion-blend about one-third of soup, keeping plenty chunky. Alternatively, blend 2 cups in regular blender and return.
Add cream, remaining 1 cup corn, and half the bacon; heat through 5 minutes. Season with salt and pepper.
Ladle into bowls; garnish with remaining bacon and chives. Serve with crusty bread or oyster crackers.