Blend or process yucca with milk. Strain and combine with rest of milk.
Pour yucca mixture into a heavy bottom pan together with the cinnamon stick and bring to a boil, at moderate heat, stirring constantly until slightly thickened.
Remove from fire and cool to lukewarm. Add eggs and combine. Return to medium heat and continue stirring until thickened.
Transfer to a serving bowl and sprinkle with cinnamon on top.