I also have the LaCie Thunderbolt 1 TB SSD Little Big Disk and the fan sound is noticeable, especially after getting used to my perfectly silent 768 SSD GB IMac late 2012. It's kind of like the fan sound of my i7 2010 iMac when it's really being pushed to it's limits but it's not objectionable. It sure is super fast though.
Perhaps a 6 foot TB cable would be a good idea to place it further away, instead of just behind my iMacs where it lives now.
I disconnect the fans when using SSDs in the LBD enclosure. I haven't noticed any heat problems, the case is just slightly warm when using. Unfortunately, you have to open the unit to unplug the fan, which breaks the tamper seals and voids the warranty.
-howard