In the work bowl of a food processor, add the flour, baking powder, salt, ground clove, ground nutmeg, and sugar.
Add cold butter cut into small chunks to the flour mixture.
Place the lid on the food processor and pulse until the butter is worked into the flour/spice mixture.
Turn the mixture out into a large mixing bowl. (If you don't have a food processor, you can accomplish this by cutting the butter into the flour on a large work surface with two knives, chopping as you go until the butter is incorporated.)
In a smaller and separate mixing bowl, whisk together the eggs and cream. Whisk until incorporated.
Add the wet mixture to the dry mixture. Stir and fold to mix into the dry mixture using a rubber spatula. Once the mixture is uniform and all of the dry mix is incorporated, stop and reserve.
Peel the apples by hand, if you wish. Remove the peel and cut out the seeds, then cut the apple into small chunks. (I use an apple peeling, coring, and slicing tool that accomplishes this in no time.) Next, slice the apples into quarter-sized pieces. See images above.
Using the rubber spatula, mix the apple pieces into the cake batter. While it may look like there are too many apples in the batter, the cake will absorb all the apples and the juice they give off.