Preheat your oven to 350°F (175°C). Line a baking sheet with parchment paper.
In a mixing bowl, cream together the softened butter and sugar until light and fluffy.
Gradually add the flour, mixing until just combined. The dough will be crumbly but should hold together when pressed.
Roll the dough out on a lightly floured surface to about ¼ inch thickness. Cut into desired shapes and place on the prepared baking sheet.
Bake for 18-20 minutes, or until the edges are lightly golden. Allow to cool completely on a wire rack.
In a microwave-safe bowl, melt the chocolate chips and coconut oil together in 30-second intervals, stirring in between, until smooth.
Dip half of each shortbread cookie into the melted chocolate and place on parchment paper to set.
Let the chocolate set completely before serving or storing.