Lay bread slices on a baking sheet. Brush one side of each slice of bread lightly with olive oil. Toast under a broiler for 30 seconds before flipping and toasting another 30 seconds. Remove from oven.
Lay bread slices flat, oiled side up and in a row on a clean work surface or cutting board. Have 4 cocktail picks and a long blade serrated knife ready.
Apply 1 tablespoon mayonnaise to one side of every piece of bread. LIGHTLY sprinkle black pepper over all of the slices.
Beginning with the slice all the way to the left, evenly layer the sliced chicken breast or turkey breast over the surface of the bread. Turkey side-up, top with two iceberg lettuce leaves, followed by the second piece of toast.
Atop the second layered toast slice, arrange the cooked bacon, cheese, remaining iceberg lettuce leaves, and tomato slices followed by the top slice of toast.
Secure the layers tightly with cocktail or frill picks by placing one in the center of each triangular quadrant. Then cut into triangles in a diamond pattern, corner to corner, and repeat. NOTE if you have adjusted this recipe above for assembling multiple sandwiches, use all remaining ingredients to repeat layers and the entire process for additional numbers of sandwiches.
Arrange the 4 wedges of club sandwich on a plate or platter and garnish with salty potato chips or a scoop of potato salad, and a single crisp half-sour pickle spear.