Prep cucumber soup: Prep herbs and cucumber per instruction above.
To a blender add half the dill, all of the chives, parsley, cucumber, garlic clove, yogurt, olive oil, tahini, salt, and pepper. Squeeze in the juice from the lemon. Blend until the mixture is creamy and smooth. Refrigerate until ready to serve.
Prep the sandwich: Heat a nonstick pan on medium heat. Once hot, add half of the butter. Brown the ham slices on both sides then remove from the pan.
Spread the mayo on one side of each bread slice.
Layer the bread with cheese, ham, cheese, and top with a bread slice. Spread the remaining butter on both of the outer sides of the sandwich.
Grill sandwich: Lower the heat in the pan to medium low. Cook the sandwich to golden brown on both sides and until the cheese has melted completely, covered with a lid.
Finish cucumber soup: When ready to serve, add rice vinegar to the soup and stir to combine. Portion into bowls and garnish with dill and a swirl of olive oil. Serve with crackers if desired.
Serve: Cut the sandwich in half and enjoy with the cucumber soup (with crackers if using) and lemonade.