The Loop feature in iMovie 10 will not carry over into the shared out movie. To loop a shared out movie you would need to play it with a video player like QuickTimePlayer and do a View/Loop.
One thing you can try is to put a small snippet of your beginning clip at the end of the movie and put a cross-dissolve transition between it and the last clip of the movie. You might have to fiddle a little to get the effect that you want.
Another thing you can try is to share out the movie and then import it back in to a new project as one large clip. Then select it and Edit/Paste it 2 or 3 times (or as many times as you want) into the time line, so that you have repeats of the clip. Put a cross-dissolve transition between each clip. It's not exactly a loop but it will have the same effect as a loop in that the movie will repeat over and over as the playhead progresses though the timeline.
-- Rich