SIP of course is safe to invest in, unless the world is destroyed by a nuclear conflict or climate change, which I do not foresee happening anytime soon.
Besides external factor like wars and global warming, we ourselves destroy the inherent safety of investments, including the SIP, by constantly worrying about the performance of the investment, market conditions, etc. The media also is doing a lot of disservice to the investors through their relentless noise.
What is the Solution? Once you have started a SIP, just keep it alive, by monthly subscription, for a very, very long time, like 20 to 50 years. Simply turn a deaf year to what the newspapers may say or your family or friends may advise.
By following this simple formula you not only ensure the continuation of the already built-in safety of the SIP, but also let the 'Miracle of Compounding' to work in your favour and most likely by the end of the said long period you will end up a very rich and character wise a very strong and disciplined person.