'Dogtooth' is certainly a Yorgos Lanthimos film! On the whole, I found this fascinating. It gets quite disturbing in parts, as you'd expect from this director, but all in all it is very good. The plot starts out difficult to read, though does quickly become clear and well portrayed.
Christos Stergioglou is a perfect fit for his role, rather intimidating and controlling. Angeliki Papoulia, Mary Tsoni and Christos Passalis bring noteworthy performances as the children, Papoulia and Tsoni particularly stand out. It's not a film that is cast reliant, but they play their part.
Looking back, it is quite a slow paced and meandering movie. However, that's basically only in retrospect because whilst watching I didn't actually feel that to be the case, which is a big positive. The film is wonderfully shot too, not that I expected any less having seen Lanthimos' most recent (similarly as great) releases.