Faro Di Capo Grecale
The tourist season on Lampedusa starts in the beginning of June and ends in September. During this time, the island is a bit crowded. From my experience, it is best to visit the lighthouse early in the morning or in the evening. During this time, you can have the place just for yourself.
Faro di Capio Grecale is a lighthouse on the solitary island of Lampedusa. The lighthouse itself was built in 1855 and since then served as a navigation point in local waters. There are beautiful views from the surrounding cliffs. Note, that this place can be sometimes very windy.
You can find a short video from the place here: https://www.youtube.com/watch?v=...