Open the can of crescent rolls & line the 8 triangles evenly in two rows of four on a baking sheet with a silicone baking mat. You may use parchment paper or lightly grease the pan if you don't have a silicone mat.
Layer two slices of ham, 1 slice of cheese folded in half diagonally, then a ¼ cup (small helping) of shredded chicken on top. Starting at the fat end of the triangle, roll the crescent dough around all the fillings as tight as you can & continue rolling to the point of the triangle. Keep the point of the triangle underneath the roll so everything stays inside during baking. Sprinkle the tops with a little bit of Italian seasoning.
Bake at 375˚F for 18-20 minutes or until lightly browned & the inside reaches 165˚F. Brush with butter fresh out of the oven.
Mix honey & dijon mustard in a dish. Serve on the side, if desired.