Currently, ABAdesk is only available to devices with internet connection. We are working on building an ABAdesk app, so you'll have offline capability. In the meantime, we do have safeguards in place that prevent data loss if internet connection is lost mid-session. The session will still be able to run, and will save data to your device until it can save to the server.
Connecting to Wifi can help save on mobile data costs in the meantime.