If you make a private account, it's safe
I don't think there are any sorts of safety issues to be bothered about while you are on Instagram. I have been here for the past five years, and have faced no such issues. It is totally safe, and also considered to be a social media platform with accounts from genuine people. So you can take an account over here, with full confidence and there is no need to fear about any such issues as well. I have also been using many supporting tools for my Insta account like the automatic instagram likes and much more, they are also pretty safe, and never cause any kind of threat to my account. In short, Instagram is a safe world to hang around on the internet.