In a large bowl, combine chicken, grapes, mayonnaise, almonds, celery, tarragon, and pepper, stirring to blend.
Spread chicken salad in a thick layer onto 4 bread slices. Top with remaining bread slices.
Using a serrated bread knife, trim crusts from sandwiches, creating squares. (Discard crusts.) Cut sandwiches diagonally into quarters, creating 4 triangles.
Recipe by TeaTime Magazine at https://teatimemagazine.com/green-grape-chicken-salad-tea-sandwiches-recipe/