Pumpkin Spice Glaze Turkey Is a Thing? By now you’re probably thinking companies couldn’t think of any other item to give the pumpkin spice treatment. Well, think again. The Honey Baked Ham Company has announced it will be testing a Pumpkin Spiced Glazed Turkey Breast in select cities. If you’re starting to drool wait till you hear what the breast has in it. It’s the classic turkey breast with brown sugar glaze and just a subtle hint of pumpkin. Remember before you going running out to buy yours, it’s only a test, make sure to call your local store first. What’s the most delicious pumpkin spice item you’ve ever had?