In a medium bowl, combine the white whole wheat flour, baking powder, and kosher salt; mix to combine.
In a microwave-safe bowl, melt the butter. Add the milk and microwave for another minute. Whisk the egg into to the wet ingredients until fully combined.
Add the wet ingredients to the dry ingredients and stir until just combined; do not overmix (batter can be lumpy).
Chop the chives; add 2 tablespoons to the batter and reserve 1 tablespoon for the garnish.
Immediately, add the batter into the center of the waffle iron and let it spread it to within 1/2-inch of the sides, then cook according to the waffle iron’s instructions. Remove the cooked waffles and place them on a baking sheet without stacking. Make the waffles to order, or place cooked waffles in a 300°F oven to keep warm.
When ready to serve, place the waffle on a plate and drizzle with a bit of maple syrup. Top with a poached egg, grated white cheddar cheese, and the remaining chopped chives.
Cooked waffles can be frozen; place them in a plastic bag and remove the remaining air with a straw before sealing. To reheat, remove from the freezer and lightly toast in a toaster.