Combine half-and-half, pumpkin, syrup, cloves, and cinnamon in a small pot. Bring to heat over medium-low heat.

Remove from heat. Discard cloves and cinnamon.

Whisk vigorously 30-40 seconds or until mixture is foamy.

Pour coffee into 4 mugs, sweeten if desired, and top with foamed mixture.

Add whipped cream and nutmeg if desired.

Refrigerate leftover milk mixture.