We've already seen about a half-dozen Google apps leaked in a Nexus 6 system dump, but we haven't taken a look at Google Drive yet. The app does have some material design in store though - as with the others - it's still in testing, so anything could change. That said, it's worth taking a look. Google Drive has implemented many of the new material design paradigms that make the app cleaner, leaner, and easier to use.
A Look At Google Drive's Material Design In Android 5.0 Lollipop was written by the awesome team at Android Police.