In a small bowl, mix Treasure Cave Mild Blue Cheese with a splash of vodka. Using a piping bag or a small resealable bag with a small hole in the corner, squeeze mixture into olives.
Add a bit of vermouth to your martini shot glasses and swirl. You can either pour out the vermouth or leave it in glass, depending on preference.
In a cocktail shaker, combine vodka and olive brine. Add ice and shake until chilled.
Strain mixture into shot glasses (or mini martini glasses) and garnish with Treasure Cave Mild Blue Cheese-stuffed olives.