Key Lime Meltaway Cookies

I found this recipe on Tastespotting (my very favorite recipe site), which linked to The Taste Space, who credited Smitten Kitchen, who adapted the recipe from Martha Stewart... *whew*!
My adaptation- I used less powdered sugar when coating the cookies at the end.

Key Lime Meltaways - makes 4-5 dozen

Ingredients:
12 tablespoons (1 1/2 sticks) unsalted butter, room temperature
2/3 cup confectioners’ sugar
Grated zest of 4 tiny or 2 large key limes
2 tablespoons freshly squeezed lime juice
1 tablespoon pure vanilla extract
1 3/4 cup plus 2 Tablespoons all-purpose flour (a.k.a. 2 cups minus 2 tablespoons)
2 tablespoons cornstarch
1/4 teaspoon salt

 Directions:

1. In a large bowl using an electric mixer (or you can use an electric mixer fitted with the whisk attachment), cream butter and 1/3 cup sugar until fluffy. 
2. Add lime zest, juice, and vanilla; beat until fluffeh.
3. In a medium bowl, whisk together flour, cornstarch, and salt. 
4. Add to butter mixture, and beat on low speed until combined.
5. Between two pieces of parchment paper, shape/roll dough into two 1 1/4-inch-diameter logs. Chill at least 1 hour.
6. Heat oven to 350 degrees. Line two baking sheets with parchment. 
7. Place remaining 1/3 cup sugar in a resealable plastic bag. 
8. Remove parchment from logs; slice dough into 1/4-inch-thick rounds. Place rounds on baking sheets, spaced 1 inch apart.
9. Bake cookies until barely golden, about 15 minutes. Transfer cookies to a wire rack to cool slightly, just three or four minutes. 
10. While still warm, place cookies in the sugar-filled bag; toss to coat. If too much sugar seems to be sticking to your cookies (it happened to me), place your cookies face-down in the sugar and pat them lightly, then shake off the excess, instead of tossing them around in the bag. Bake or freeze remaining dough.

Store baked cookies in an airtight container for up to 2 weeks. You can also make lots and lots and store the logs in the freezer for a month or two so you can make these any time :)