In a large skillet with a tight-fitting lid, combine turnips, honey, butter, and water. Season with salt and pepper. Bring liquid to a boil over medium-high, then reduce to a rapid simmer. Cover and cook until turnips are just tender, 10 minutes. Uncover, bring liquid back to a boil, and cook, stirring occasionally, until liquid is almost reduced, 10 minutes. Continue to cook, stirring often, until turnips are barely golden and glazed, 3 minutes more. Season with salt, pepper, and fresh lemon juice.