DLP may help with insider theft
The insider theft danger was around long before the meteoric rise of the smartphone - first, as you say, it was CDs, then memory sticks. Our corporate AV (Sophos) has a data leakage prevention module which either monitors or blocks the transfer of certain file types or data types to removable media or email. We only use alert mode and I'm sure a determined data thief would find another way, but it's a useful line of monitoring and defence.