The part about getting data from the table when the user clicks on it shouldn't be that difficult. You can use property nodes to fnd out what the active cell is and use that to retrieve the appropriate data. The real trick is reading a double click. LabVIEW does not really support double clicks very well. Here is a KB that might help.
http://digital.ni.com/public.nsf/3efedde4322fef19862567740067f3cc/a39bb39ea1a6f3d086256a53006b783e?OpenDocument
Also, if you have 6.1, you might be able to rig something up using the event structure.