If so, why? And when do you start, using which system or program? And if not, why not?
I personally have never studied Latin. I do speak six languages fluently, and I am intending to offer the three my children have not yet been introduced to later on through organized study. I acquired all my non-native languages through immersion, by living in those countries, and have never done well with formal study of grammar, etc.
Those who think Latin is important hold the view that its grammar is highly stimulating to the brain, and helps develop logical thinking. I can see that being true. Besides, many Latin words are incorporated in all kinds of languages, and it is nice to see where those words came from. Latin also comes in handy in medical or scientific fields.
On the other hand, there are other languages with complicated, brain-stimulating grammar as well. If I teach all my languages plus Latin, we won't have time for anything else but languages! The ability to speak languages in current use offers more practical, obvious benefits than Latin.
I'd love your views on this, particularly on the notion that Latin develops logic and builds brain connections.