Put the cheeses, chutney, and mustard in the bowl of an electric mixer fitted with the paddle attachment. Beat until creamy. Refrigerate for 1 hour. Reserve about 2 tablespoons of the mixture to use as “glue” for the spider legs. Roll ½ cup of the mixture into a ball for the head of the spider. Shape the remaining mixture into a ball for the body. Roll both cheese balls in poppy seeds to coat. Place on a serving platter or plate, placing the head and body together. Insert the olive halves in the head for eyes.
Insert 4 pretzels into each side of the body for legs. Using the reserved cheese mixture, glue another pretzel to each leg section at a 45 degree angle. Sprinkle the “glue” with some poppy seeds. Cut the last pretzel in half and insert beneath the eyes for feelers.
Refrigerate until ready to serve. Serve with gluten-free crackers or vegetables.