From The Apple Wiki
Original author(s)Apple Inc.
Developer(s)Apple Inc.
Stable release
(latest known version)
Operating systemiOS
Available inEnglish
LicenseClosed source

ConnectMe is an internal application with an unknown purpose. It was originally thought to be a precursor to AppleConnect as an intranet for Apple as the bundle is - as searching JiveDaily brings up this - but apps with MinimumOSVersion marked for iOS 4.0 with Sign In to AppleConnect exist, and the leaked builds of ConnectMe require iOS 8.0 minimum. It may be a chat system as opening it shows the logo stylized as a message bubble - see the image on the sidebar.