Beat cream cheese: In a large bowl using an electric mixer, beat softened cream cheese until smooth and fluffy, about 2 minutes.
Add sugar and spices: Add powdered sugar, ginger, cinnamon, nutmeg, cloves, and salt. Beat until well combined.
Add wet ingredients: Pour in molasses, vanilla extract, and heavy cream. Beat on medium speed until smooth and creamy, scraping down the sides as needed, about 2-3 minutes.
Taste and adjust: Taste the dip and adjust spices if needed. If you want it sweeter, add more powdered sugar. If you want more spice, add a pinch more ginger or cinnamon.
Chill (optional): For a firmer, scoopable texture, cover and refrigerate for at least 30 minutes. You can also serve immediately for a softer, more spreadable consistency.
Garnish and serve: Transfer to a serving bowl, top with crushed gingersnaps or candied ginger if desired, and serve with cookies, crackers, fruit, or pretzels.