Pre heat oven to 375°F
Slice 1/2 lb smoked ham into 4 pieces and set aside until ready to use.
Grate 4 oz white cheddar or gruyere cheese and set aside until ready to use.
Cut 4 dinner rolls in half and spread 1 tbsp Dijon mustard, divided, on one side of each roll.
Spread 2 tbsp apricot jam or marmalade, divided, on the other side of each roll.
Top the other half of the bun with the remaining grated cheese.
Place the open faced buns on a flat sheet lined with aluminum foil and bake in a pre-heated oven for 15 minutes or until the cheese has melted and the ham begins to brown around the edges.
Place the top of the bun on the bottom and serve.