Pre-heat oven to 325 degrees Fahrenheit.
Prepare an 8" x 8" square baking pan by lightly greasing the bottom. You can also line the pan with aluminum foil.
Measure the flour and sugar into a bowl.
Cut the butter into pieces and drop them a few at a time into the mixture.
Cut the butter into the dry ingredients until the mixture has a coarse, mealy texture, gathered into crumbs about the size of peas. Don't over-mix.
Add the Meyer lemon juice and zest, mixing until the dough just comes together.
Last, add the chocolate chips with a spoon, folding the dough over until they are just evenly distributed. The dough should be thick and hold together.
Press the dough into the pan.
Bake in the oven in a middle rack for about 45 minutes. The cookie should be slightly puffed up in the pan and the edges just turning golden. Do not allow it to brown.
Allow the cookies to cool for about 10 minutes.