Place eggs in a saucepan and cover with cold water (about 1 inch above the eggs). Bring to a rolling boil over medium-high heat.
Turn off the heat, cover with a lid, and let sit for 10–12 minutes. Drain and cool under cold running water or in an ice bath until easy to handle.
Gently crack the eggs and peel under running water. Slice each egg in half lengthwise. Scoop out the yolks and place them in a mixing bowl. Set the whites aside on a serving plate.
Mash the yolks with a fork until fine and crumbly. Add mayonnaise, pepper jelly, Dijon mustard, salt, black pepper, and apple cider vinegar (if using). Mix until smooth and creamy. Taste and adjust seasoning.
Spoon or pipe the filling into the egg white halves. Use a piping bag for a clean finish or a small spoon for a rustic look.
Add a small dollop of pepper jelly on top of each egg. Sprinkle with chopped chives or green onions. Optional: Dust with smoked paprika for added color and flavor. Serve chilled.