With very, very few exceptions, I am accepting only completed stories for Odo's PADD.
For one thing, it's awkward to have to make repeated updates to the page every time an author completes a new section of a story. For another, it's frustrating for readers to get involved in a story and find that the ending isn't available yet, and that there's no definite word on when it will be available. And please don't insist that you'll have it finished in "another few days"; things can and do come up that keep us from meeting such self-imposed deadlines; it happens to the best of us.
If you honestly feel you'll have your story done in another few days, then just hang onto it until it is done, then submit the whole thing.