Preheat oven to 350 degrees and line a baking sheet with parchment paper.
In a medium bowl, whisk together flour, baking soda, salt, and cinnamon.
In the bowl of your stand mixer (or in a large bowl, using a hand mixer or a wooden spoon), cream butter together with both sugars.
Add egg and mix to combine.
Add half of the cider and half of the flour mixture to the bowl and mix until just combined. Repeat with the second half of the cider and remaining flour mixture. Take care not to over-mix.
Take about 1 Tbsp of batter and form a ball with it (batter will be a bit sticky). Place a caramel inside and roll the dough around it. Put cookies on parchment paper-lined baking sheet about 1 ½ inches apart.
Bake cookies at 350 degrees for about 10-12 minutes, until just starting to turn golden around edges. Let cool in pan for a few minutes before removing to rack to cool completely.