In a small pot heat sugar and water on medium low until clear and melted. Place your bunch of thyme in warm mixture and allow the simple syrup to absorb the thyme for 15-20 minutes until fragrant. Strain the syrup of the thyme.
Squeeze clementines with a citrus reamer for 1/2 cup of juice (about three clementines).
In a cocktail shaker mix juice, vodka, and simple syrup. Pour over ice and garnish with thyme sprigs and clementine slices.