Melt 1 tablespoon butter in a saucepan. Whisk in the flour to make a paste. Let the butter-flour mixture cook for 1 minute, then gradually add the milk, whisking constantly to ensure no clumps form. Stir in 1 cup cheese until melted and the mixture is smooth.
Roll the dough on a lightly greased surface into a 12" x 18" rectangle. Evenly spread with cheese sauce and bacon.
Starting with a short end, roll the dough into a log. Cut it into 12 pieces.
Place buns into the paper-lined or greased cups of a muffin pan. It's best to use two pans, filling every other cup.
Cover and let the buns rise for 60 to 90 <g class="gr_ gr_97 gr-alert gr_gramm gr_run_anim Punctuation only-del replaceWithoutSep" id="97" data-gr-id="97">minutes,</g> until they're nicely puffed. Closer to the end of the rising time, preheat the oven to 350°F.
Bake the buns for 15 minutes, remove them from the oven, and top with grated or shredded cheese. Return to the oven, and bake until the cheese melts, 5 to 10 minutes longer.
Remove from the oven. When cooled enough to handle, turn them onto a rack to cool.