FYI, Arkansas is not a pure constitutional carry state. Open carry OK but concealed carry still requires a permit.
No, concealed carry does not require a permit in Arkansas.
http://gunwatch.blogspot.com/2015/02/ar-controversy-about-constitutional.html
http://gunwatch.blogspot.com/2015/06/ar-bizzare-article-attempts-to.html
http://www.examiner.com/article/legislature-s-permission-not-needed-for-right-to-bear-arms-arkansas