Peel the clementines and remove as much of the white pith as possible.

Place the clementine segments, Greek yogurt, almond milk, honey, and vanilla extract into a high-speed blender.

Add the ice cubes to the blender carafé.

Blend on high speed for 45 to 60 seconds until the mixture is completely smooth and emulsified.

Pour into a chilled glass and serve immediately.