I bought a Lacie thunderbolt Little Big Disk the first day they were available. It's connected to the Apple Thunderbolt Display and yes, it's really noisy. Three issues I have with this configuration;
1) The fan runs full speed all the time. The drive housing is completely cool, and yet the fan runs full speed.
2) Very noisy fan, hard to believe it can be this noisy for such a small fan
3) The Lacie disk stays powered up even when the Macbook Air is disconnected from the monitor. Not very gree of Apple.
I am going to take the drive housing apart to see what fan is in there and to see if I can find a quieter fan. Lastly, I hope Apple makes a firmware change for the Thunderbolt display to shut external drives off when the computer is not connected.