We stayed here 5 nights in September, 2013. Monolocale is rather small, but it wasn't a big deal for us. Room was clean, there were towels and nice sheets and a little kitchen - fully equipped (we even had a barbecue). Monolocale is located in a quiet place on the countryside of Favignana, though easy to reach everything. There are plenty of cats - heaven for animal lovers. The garden is beautiful and typical. Mary (landlady) was very nice and helpful - she took us from/to the port and showed us around. She lived nearby and there was no problem to ask her about anything.
It was a great experience, Favignana is a beautiful island. Definitely want to return again!!