In cellular networks, M stands for Mobile. Mobility in MEC demands that applications survive handover between MEC server nodes deployed at the network edge. The sweet-spot for MEC server deployments is at aggregation sites serving clusters of cells. To reduce latency and bandwidth overheads to perform a realtime live migration at MEC Server-to-MEC Server handover requires a deconstruction of the application into an idle/stateless portion and a (number of) per-session stateful portion(s) and involves a multi-step pre-emptive approach to transferring the application data to the new serving MEC Server. The pre-emptive instantiation of the application in "likely handover targets" (i.e. neighbouring MEC Servers) could leverage SON techniques such as automatic neighbour relations. Furthermore, container frameworks will further reduce these overheads compared with approaches based on VM migration.