Using a hand mixer, beat the butter brown sugar, honey, cinnamon, nutmeg, cloves, and salt together in a bowl, until creamy and smooth.
Transfer the mixture to a large glass measuring cup (at least 4 cups or larger).
Add the boiling water to the mixture and stir until the butter mixture dissolves.
Add a shot of rum to each mug.
Pour the well-mixed butter/water mixture into the mugs evenly.
Stir well and serve with a cinnamon stick.
Side Note: You may dilute the drinks with more boiling water if it's too sweet.