Peel, wash, and cut the turnips into pieces. Plunge the turnips into a pot of boiling water. Wait for the water to return to a boil and cook for 5 minutes.
Drain the turnips. In a large skillet, heat the olive oil and add the turnips. Cook over medium-high heat for a few minutes, then add the honey and soy sauce.
Stir well and sprinkle with fresh thyme. Continue cooking for a few more minutes until nicely golden.
Taste and season with salt and pepper if desired. Serve immediately.