This isn't really a hack: it's just a streamlined way to have shortlinks to you Dropbox-files with built-in statistics. What's next, an article by the bit.ly people saying they got a hack to get stats on links you post on Twitter?
before i would even think of touching this i'd need to know what sort of permissions im giving this app. And secondly, you care about stats on links that you intend to leave up for a long time as well as give to a lot of people. Im not sure I would trust an on the side project to keep up links that I distribute widely.
All that said, there was talk on the dropbox blog a while back about releasing analytics tools but we haven't heard anything since then.
with short-links redirecting to the file, it could be done with url shortener with stats, it's just more convenient generating them with this service I guess