Top, tail and peel the cucumber. Cut into 3/4-inch-thick slices to give about 16 to 18 in total. Using a melon baller, small teaspoon or 1/4-teaspoon measuring spoon, scoop out enough of the seeds from the middle to give a cup that has a border about 1/4-inch-thick, making sure you don¿t go right down to the bottom. Arrange them on a large platter and set aside.
Break the feta cheese into a small bowl and mash it with a fork until as smooth as possible. Add the dill and sprinkle with the pepper (but no salt, as feta is already salty), stirring everything together well. Divide the feta mixture between the cucumber cups. Arrange a little pile of pomegranate seeds on top of each one and serve.