One recipe for beer cheese pretzel dip is the pub-style pretzels and beer cheese sauce recipe from HGTV. The recipe uses smoked Gouda, sharp Cheddar and sour cream, and it yields about 1 cup.
To prepare the recipe, pour 1/2 cup beer into a saucepan, and simmer it on low heat. Choose a beer such as Sierra Nevada if you desire a strong taste or a wheat beer for a mild flavor. Slowly whisk in 1 1/2 tablespoons flour until blended before adding 1/2 cup grated sharp Cheddar and 1/2 cup grated smoked Gouda. Whisk the cheese mixture until smooth, and add 1/4 teaspoon paprika, 1/4 teaspoon ground mustard and 2 tablespoons sour cream, continuing to whisk as you add ingredients.
Add salt and pepper to taste before pouring the warm dip into small bowls or individual serving cups along with fresh pretzels. If the sauce is too thick, thin it out with extra beer. If it's too watery, whisk in some more flour. The beer cheese sauce goes well with both soft, homemade pretzels and crunchy pretzel sticks, and it also works with toasted crostinis and other salty appetizers. For flavor variation, toss in some Worcestershire sauce or hot sauce.