In another large saucepan, combine the sugar with the reduced apple cider, corn syrup, water and salt and bring to a boil. Simmer over moderate heat until the sugar dissolves, about 5 minutes. Carefully whisk in the butter until melted. Gradually whisk in the warm cream mixture until incorporated. Cook over moderately low heat, stirring frequently, until a golden caramel forms and the temperature reaches 245° on a candy thermometer, about 45 minutes. Stir in the cinnamon, allspice and cloves and scrape the caramel into the prepared pan. Let cool completely, then refrigerate the caramel overnight.