The thing is... Nothing in AnoniMe is private! Other users can peep into your conversation - see what your writing anonymously (they won't know who you are), they can also send you a friend request, but don't worry, once you confirm, they can't peep that conversation anymore.
You can ask the other user to reveal your and his identity, once you do this, your conversation is no longer public and NO ONE can peep to it.
Please, don't be shy, share your thoughts, missing features you think should be on the app, and obviously we want to hear about bugs, we're not perfect :)
http://anonime.mobi/feedback
Like us on Facebook: https://www.facebook.com/AnoniMeApp
Enjoy!