Place the strawberries, coconut milk, honey, vanilla, and lime zest in a blender and blend until smooth. Taste and add more honey if desired.
Place the chia seeds in a large bowl, pour the strawberry mixture on top, and whisk thoroughly. Let stand for 10 minutes and whisk again.
Cover and refrigerate for at least 4 hours and up to 3 days. Stir the pudding before serving. The longer it sits, the thicker the pudding will become; if you find that it is too thick, whisk in a little water (or coconut water, if you have some on hand).
Spoon into individual cups or bowls and garnish (see suggestions below).