I have the same problem using a 2011 MBP 15" Intel 17, 8 gig with a new cinema display and a recent download of Yosemite (7 days ago)
I have two pherical usb hard drives both by lacie
The more recent 1T Orange usb hard rives mounts fine and is operational.
However the older 2011 1T Rugged Safe (fingerprint scanner to open) by laice (both purchased from the apple store will not mount correctly). On connection or start up by both cable types supplied the icon appears after reconnecting again, then my use of the fingerprint scanner sends the icon off screen, reconnect again and the opening window appears with a choice set up or open and choose opening by name and password as opposed to using the fingerprint scanner. No luck, the icon disappears off screen also. Not cool
Sometimes this hard drive just sits there no icon on screen and alternates with its led changing from flashing green to red and clicks like a missed connection.
This unit worked fine with Mavericks but Yosemite no go. Have tried lace support by getting a ticket and cannot get a response from them so far thats been 6 days waiting Great support AH? These units are both still under their 3 year warranty!
Anyone with the same or found a fix please post.
Needless to say I have a lot of business data in there
I use a time machine back up but chose not to back up these two drives in there.
Andrew