Prepare your lime slice garnish by cutting a slit in one side that you'll use to attach it to the rim of the serving glass. Set it aside along with the lavender.
Add the lime juice, lavender syrup and vodka to a cocktail shaker.
Fill the shaker with ice, seal it up and give it 15-20 hard shakes.
Fill your serving glass with fresh ice, and strain the mixture into the glass.
Pour the ginger beer into the serving glass.
Attach the lime slice to the rim of the glass, and add the lavender sprigs next to the lime before serving.