Finely dice the sugar-free bacon and place it in a medium pot over medium heat, cooking until the fat is rendered and the bacon is crispy.
Add the diced onion and celery to the pot with the bacon fat, sautéing for 5 minutes until the vegetables are soft and translucent.
Stir in the minced garlic and dried thyme, cooking for 1 minute until fragrant.
Add the diced Yukon gold potatoes and the clam juice to the pot. Bring to a gentle simmer and cook for 10-12 minutes, or until the potatoes are fork-tender.
In a small bowl, whisk the arrowroot powder into the cold whole milk until smooth to create a slurry.
Pour the milk mixture into the pot and stir constantly as the soup thickens slightly.
Fold in the chopped clams and their remaining juices, heating through for 2-3 minutes without boiling to keep the clams tender.
Season with sea salt and black pepper, then garnish with fresh chopped parsley before serving.