Add the raspberries to a small saucepan and heat over medium until the berries begin to break down and turn syrupy, around 5-10 minutes.
Gently smash berries with the back of a wooden spoon or potato masher, until desired consistency is reached.
Stir in lemon zest, lemon juice, cardamom, and ginger, then add honey as needed for sweetness.
Add the chia seeds and stir to combine. Remove from heat and allow to sit for 10 minutes to thicken. Enjoy immediately, or transfer to a jar or other airtight container and store in the fridge for up to 2 weeks.