LaCie hard drive beeping sound is dangerous sign which indicates that you hard disk is going to crash sooner or later. The first thing you should do is to create a back up of all the important files either in the internal drive or any other storage media. The LaCie hard drive beeping sound generally occurs when there is any physical damage in the hard disk. It can be scratched platter, broken read/write head, motor not moving etc. Sometimes the you may get enough time for backing up but it can also occur all of a sudden and you may think that all of your data is lost. What you have to do now is sent it for repairing to the manufacturers, they will certainly fix LaCie hard drive beeping sound but the hard disk will also be formatted. They can also recover the data for you but it is quite costly. You should rather choose the more affordable option and use LaCie drive recovery software. It will scan the hard drive and show you the preview of all the lost files. Now you can select and restore them back after the LaCie hard drive beeping sound is fixed.