If you ever notice that your employer or client isn't backing up important data, take a tip from me: do a backup, today, in your free time, and if possible, and again in your free time, create the most basic regular backup system you can. When the time comes, and someone screws up, you will seem like a god when you deliver your backup, whether it's a 3-month-old one-off, or from your crappy daily backup system.
That is good advice, just make sure that it doesn't look like you are stealing your customers/clients data.
Excellent point! Any tips on how to avoid that, other than not taking the data home / copying to personal Dropbox-type things?