Preheat oven to 350 degrees.Slice rutabaga thinly using a mandolin or knife.
Reserve the sliced rutabaga in a bowl.Melt the butter in a small saucepan over medium heat.Add thyme to melted butter once completely melted.
Reduce heat to medium-low and continuously stir for approximately 2 minutes.Pour the melted butter herb mixture over the sliced rutabaga.
Ensure the slices are evenly coated.Arrange and layer the rutabaga slices, dividing among the muffin tins.
Get creative in layering! (I transitioned from larger slices on bottom to smaller on top, overlapping each slice in a circular pattern.)Drizzle any remaining butter over your rutabaga arrangement.Cover the muffin tin with foil.Bake for 35 minutes.
Remove foil.Continue baking uncovered for an additional 25-30 minutes, or until the edges are golden and crispy.Enjoy!