How to Make It
Melt butter in a heavy-bottomed saucepan over medium-high. Stir in apples, sugar, and lemon juice; bring to a boil. Reduce heat to low; cook, stirring often, until apples cook down and sauce thickens, about 15 minutes.
Rinse grated potatoes in a colander with hot water. (Hot water will act as a blanch to prevent discoloration.) Drain and squeeze the potatoes to remove as much excess liquid as possible.
Place potatoes, onion, and eggs in a bowl, and stir to combine. Stir together flour and salt in a small bowl until combined; gradually add to potato mixture, stirring until combined.
Heat Clarified Butter in a large skillet or on an electric griddle over medium-high. Drop 6 to 8 loosely packed 1/4 cupfuls of potato mixture into hot butter; press lightly with a spatula to flatten into 3-inch rounds.
Reduce temperature to medium, and cook until golden, 3 to 4 minutes per side. Place on a plate lined with paper towels. Top Potato Latkes with compote and Cheddar shavings; sprinkle with salt.