How to Make It
Make the cupcakes: Heat oven to 350°F. Line two 12-cup muffin tins with paper liners. In a medium bowl, whisk together the flour, baking powder, baking soda, ginger, cinnamon, salt, cloves, and nutmeg; set aside.
Beat the butter and sugar with an electric mixer on medium-high until fluffy, 2 to 3 minutes. Beat in the molasses and ginger, then the eggs one at a time, scraping down the sides of the bowl as necessary.
Reduce mixer speed to low. Add the flour mixture in 3 additions and the milk in 2 additions, beginning and ending with the flour mixture. Mix just until combined (do not overmix).
Divide the batter among the prepared muffin tins and bake until a toothpick inserted in the center of a cupcake comes out clean, 15 to 20 minutes. Let cool.
Make the frosting: Beat the cream cheese and butter with an electric mixer on high until smooth, 1 to 2 minutes. Add the sugar, lemon juice, and salt and beat until fluffy, 3 to 5 minutes. If necessary, slightly chill the frosting to stiffen it before using. Frost the cupcakes and sprinkle with the lemon zest.
Note: Cupcakes are best eaten the day they’re made, but will keep up to 2 days in an airtight container.