You can view the contents of a bin by selecting the bin from the navigation column on the left.
Each subclip has a blue bar beneath it to indicate what portion of the original video was selected. You can click any subclip to load the player view for that video.
To export subclips into your editor, select the appropriate subclips, open the command menu (gear icon in the rop-right) and select the option for the NLE you want to use. Note that if you select no subclips, axle will export all the subclips.
Once you select an editor, a compatible XML file will automatically download into your browser's downloads folder. Import this XML file into your editor, and the editor will automatically link the media from your storage to the current project.
Note that this does not move or duplicate the media, the media remains on the storage.