In a small bowl, stir together mayonnaise, lemon zest, lemon juice, lime zest, lime juice, salt, and pepper.
In a large bowl, stir together chicken, artichokes, and dill. Add mayonnaise mixture to chicken mixture, stirring until chicken is uniformly moist. Cover, and refrigerate until cold, approximately 4 hours.
Spread chicken salad in an even layer onto 4 bread slices. Cover with remaining bread slices to make 4 whole sandwiches. Using a serrated bread knife in a gentle sawing motion, trim and discard crusts from sandwiches. Cut each sandwich into 4 equal rectangles, creating 16 tea sandwiches. Serve immediately, or cover with damp paper towels, place in a covered container, refrigerate, and serve within 4 hours.
Recipe by TeaTime Magazine at https://teatimemagazine.com/chicken-artichoke-salad-tea-sandwiches/