I think teeth cleaning by a dentist is not common in Argentina. I live in Bariloche and have gone to the two best dentists in town, based on many recommendations, and one said I didn't need cleaning, which was a joke, and the other stuck a pick in my mouth for about 30 seconds and then started polishing. On both occasions I had gone six months without cleaning, and in the US I know any dentist would have done a thourough job taking more than half an hour.
However I once walked into a dental office in BA, got an appointment for the next day, and they did a very thourough job for a reasonable price. That was a chain of dental care offices but I don't remember the name.
I get the idea, from talking to Argentine friends, that very few people here understand the need for professional cleaning. They only go to the dentist when they're in pain. If a dentist tried to explain to them about cleaning they would probably think it's a scam. They all think toothbrushing is enough. So it's a public education problem. I'm sure there are some well-educated dentists here that know what is required, but they will probably be foreign educated or have foreign clients, hence they won't be cheap.