This plant has been in my house for 7 years and I can't identify it, also is it supposed to be bare like that? everytime It sets new leaves ,they drop off , (and seem to pinch in )as evidence from the scars on the stems, help would be much appriciated, It gets water once a week Thanks-QR http://i106.photobucket.com/albums/m244/Brig-of-War/Picture039.jpg http://i106.photobucket.com/albums/m244/Brig-of-War/Picture038.jpg
Your plant looks like Adenium obesum, commonly called the Desert Rose..It is a succulent and needs a very bright window and even some sun to thrive. If your leaves keep falling off you may be over watering it. It also likes a cactus type soil which is fast draining. If your plant is in a peaty mix it may be holding too much water.