In a medium or large bowl, combine all the oat milk, chia seeds, maple syrup, and vanilla. Stir and set aside for 10 minutes to thicken.
In a small saucepan, combine all the ingredients for the cherry compote. Cook over medium heat for 3-5 minutes, or until the cherries are softened but not broken down, stirring frequently. Remove from heat and set aside to cool. Give it a taste and see if it needs more maple syrup.
Give the chia pudding another stir and pour the liquid from the cooked cherries into the chia mix. Stir until well distributed.
Distribute to 4 serving dishes or mason jars leaving at least ½ inch of space on top. Top each portion with a scoop of cooked cherries. Cover and place in the fridge for at least 4 hours or overnight.
Serve chilled or heat in the microwave for ~30 seconds. Serve with shaved chocolate, sliced toasted almonds, or granola.