In a bowl, beat butter and sugars together until smooth. Add in the egg and vanilla and beat until smooth.
In another bowl, whisk the flour, cornstarch, and baking soda together. Add to the butter mixture and blend together. Add in the chocolate chips, shredded coconut, and toffee bit. Stir to combine.
Shape dough is balls approximately 2 Tbsp in size.
Line cookie sheet with with parchment paper, and bake cookies at 350 degree for 11-12 min. Take out before they have browned. Allow to sit for 5 min on the sheet and then move to wire rack. Store cooled cookies in airtight container. Makes 2 dozen cookies.