Preheat oven to 375°F and line baking sheets with parchment paper.
Toast the shredded coconut in a dry skillet over medium heat for 3-5 minutes, stirring frequently, until golden brown, then set aside to cool.
In a medium bowl, whisk together flour, baking soda, and salt.
In a large bowl, beat butter and both sugars until creamy and fluffy.
Beat in eggs, vanilla extract, and lime zest until well combined.
Gradually mix the dry ingredients into the wet ingredients until just incorporated.
Fold in the toasted coconut and chocolate chips until evenly distributed.
Drop rounded tablespoons of dough onto prepared baking sheets, spacing 2 inches apart.
Bake for 9-11 minutes until edges are golden but centers still look soft.
Remove from oven and immediately sprinkle each cookie with a pinch of flaky sea salt.
Cool on baking sheet for 5 minutes before transferring to a wire rack.