Slice the cucumber into 24 rounds, about 1/2 inch thick. Pat both sides dry with paper towels and arrange the rounds on a platter.
Stir the cream cheese, dill, lemon zest, lemon juice and black pepper in a small bowl until smooth.
Spoon the mixture into a zip-top bag, snip off one corner and pipe about 1 teaspoon onto each cucumber round.
Fold each piece of salmon into a loose ribbon and set one on top of each round.
Scatter the capers over the bites, sprinkle with everything bagel seasoning and extra dill. Serve right away, or cover and refrigerate for up to 4 hours.