-
Heat 1 tablespoon clarified butter in a large 12-inch nonstick skillet over medium-high. Pour half of crêpe batter (about 3/4 cup) in center of hot skillet, swirling to spread batter in an even layer in pan. Cook until underside of crêpe is slightly browned, 3 to 4 minutes. Gently tilt skillet forward to shift crêpe until top edge of crêpe is visible above rim of skillet. Slide a wide spatula under crêpe, ensuring spatula is positioned in center of crêpe. Flip crêpe.
-
Immediately sprinkle half of cheese (about 1/2 cup) evenly over surface of crêpe, and place half of ham (about 3/4 cup) in an even layer over half of crêpe. Cook until crêpe is light golden brown and bottom is set, 30 to 45 seconds. Fold crêpe in half over ham to form a semicircle, and fold in half again to form a triangle. Transfer folded crêpe from skillet to a large plate; cover loosely with aluminum foil to keep warm. Repeat process with remaining clarified butter, crêpe batter, cheese, and ham.
-
Fill a large saucepan with 2 inches of water; cover and bring to a boil over high. Reduce heat to medium-low to maintain a gentle simmer. Working with 1 egg at a time, crack egg into a small bowl. Add egg to simmering water. Quickly repeat with remaining 3 eggs, spacing evenly apart in pan. Turn off heat, and cover; let stand until egg whites are set and opaque, about 4 minutes. Remove eggs using a slotted spoon, and drain on a paper towel–lined plate.
-
Transfer crêpes to 2 plates. Top each with pickles and 2 poached eggs. Snip 1 corner of plastic bag to create a small hole; drizzle crêpes with Dijonnaise. Garnish with chives and sea salt.