Have been using about a week, and Ive found 2 problems, one big and one minor.
The big problem is as others have mentioned . . . when you open the browser, it shows the previously browsed page for about a second before prompting for the password. To me, this defeats the primary purpose if the browser! If they would fix this, Id change rating to 4 stars.
The other option I miss from Safari is the ability to tap and hold a link to get additional options such as open in new page, copy, etc.
gh37122 about PrivyX - Private Browser