01 - Heat a large nonstick skillet or griddle over medium heat until evenly hot.
02 - Whisk together honey mustard and mayonnaise in a small bowl until smooth and fully combined.
03 - Spread a thin layer of honey mustard mixture on the cut sides of each roll half. Place cheddar cheese half on the bottom bun, add ham if desired, and crown with the top bun.
04 - Coat the outside top and bottom of each assembled roll generously with softened butter, ensuring even coverage for golden browning.
05 - Arrange sandwiches in the preheated skillet, pressing gently with a spatula. Cook for 2-3 minutes per side until golden brown and cheese is fully melted.
06 - Remove from heat and immediately sprinkle with poppy seeds and chives while warm for optimal adherence.
07 - Plate the mini grilled cheese warm. For a complete meal, pair with pickles or tomato soup.