[First, thanks for what seems to be a fantastic (and free) product so far!! (I'm currently testing it on myself before deciding whether to roll it out to the rest of our users)]
I would like to add my vote to this feature request.
We have a number of remote users, as well as laptop users and Surface Pro users who never sit still for very long
Getting that initial backup can take 2-3 days of continuous uptime (and network connectivity) over "slowish" high-speed connections.
Our users are not the type to have the patience (or to remember) to leave their systems on and connected without interruption for that long, and it would not be realistic to try to have them capture their initial backup on an external USB drive we send them (so they can ship it back to our data center where we plug it in to "pre-seed" the initial backup on a file server...and this doesn't work if we want to backup to our VBR repo anyway).
Being able to restart an interrupted backup by having it pick up where it previously left off would be a huge benefit to capturing that first large backup. In fact it is the only realistic way for remote/portable users.
[this thread for reference: http://forums.veeam.com/veeam-endpoint-backup-f33/how-does-endpoint-backup-handle-network-outage-t28044.html