Place flour, sugar, and salt in the bowl of a food processor and pulse to combine. (note if you don't have a food processor, you can do this in a large bowl).
Pulse in the chilled cubed butter until mixture resembles coarse meal (if you're not using a food processor, use a pastry blender or your fingers to cut butter in).
In a small bowl, lightly beat one egg and mix in milk. Pour this into the flour/butter mixture and pulse until dough just comes together.
Remove dough to lightly floured surface and knead a few times to bring together into a smooth disc. Wrap in plastic wrap and chill dough for about 30 minutes.
Roll dough to about ⅛" thickness (you can divide dough into two portions to make rolling out easier) and cut out rectangles about 5" by 3 ¼". Re-roll dough scraps to utilize all of the dough. You should get about 14 rectangles. Place rectangles on parchment paper-covered baking sheet and chill for another 30 minutes.
Pre-heat oven to 350 degrees.
Spoon about a Tbsp of cherry lime jam to the center half of the rectangles and cover each with a remaining rectangle. Using a fork, crimp the edges of each pop tart and cut a couple slits in the middles to let air escape when baking. Lightly beat remaining egg in a small bowl and then brush each pop tart with egg wash.
Bake pop tarts for about 20 minutes, until they're just turning golden brown. Remove from oven and let cool in pan for a few minutes before moving to wire racks to cool completely.
Once pop tarts are cooled, drizzle icing over the top and top with sprinkles, if desired.