Step 1Heat the oven to 350 degrees. Toss the pecans with the butter.
Step 2In a small bowl, whisk together the cinnamon, cloves, brown sugar and salt. Pour the mixture over the pecans and toss to coat completely.
Step 3Spread the pecans on a baking sheet and cook for 12 minutes, gently stirring halfway during baking to candy the nuts. Remove the tray to a rack and cool the nuts completely. Once cool, coarsely chop the pecans. Set aside.
Step 1In a small saucepan, heat the currants and whiskey until boiling. Simmer until the currants have absorbed almost all of the liquid. Remove from heat and cover the pan. Set aside to cool completely.
Step 1In a medium saucepan, combine the carrots, sugar, corn syrup and water. Bring to a low boil and cook until the syrup is reduced to about 2 tablespoons and the carrots are translucent and candied, 20 to 30 minutes. Keep an eye on the carrots during the last few minutes so they do not burn. Drain the carrots and set aside to cool.
Step 1In the bowl of a stand mixer, or in a large bowl using a hand mixer, blend together the cream cheese, sour cream, sugar and lemon zest until smooth. Chill thoroughly.
Step 2Freeze the base in an ice cream maker. After churning, gently fold in the spiced pecans, soaked currants and candied carrot cubes. Freeze until firm.