Preheat oven to 400ºF (200ºC). Pat pork roast dry with paper towel. Place fat-side up on rack in roasting pan. Stud roast all over with cloves. Pour broth into bottom of roasting pan.
In bowl, whisk together honey, soy sauce, brown sugar and garlic. Brush half the glaze over roast.
Roast pork in lower-third of oven 20 min., then reduce temperature to 325°F (160°C). Brush roast with remaining glaze. Continue to cook, basting with pan drippings every 20 min. for 3 hr., or until meat thermometer inserted in thickest section registers 160°F (71°C). Tent with foil, if glaze browns too quickly.
Remove roast from oven; tent loosely with foil to rest 20 min. Thinly slice to serve.
Thinly slice leftover pork and tuck into grilled cheese sandwiches.