Good luck to all of the military applicants on this thread. I'm a Marine Officer who just finished going through the process and will be heading to Tuck in the fall. If anyone has any questions about applying to there, please post in this thread and I'll do my best to answer.
Two things that I will mention:
1) Tuck does a pretty good job with the Post 9/11 GI Bill. If you're applying to any private school, make sure you read the fine print, especially with the new changes to the bill. At Tuck, if you're eligible for 100% of the Bill and the Yellow Ribbon Program, you'll basically have $47,500 of tuition covered (books and BAH is separate). The breakdown is $17,500 tuition + $15,000 Tuck contribution + $15,000 VA match. The additional upside is that Tuck has an unlimited amount of participants that it will allow in the Yellow Ribbon Program. Some private schools cap their numbers to 10 or 15 (MIT, Wharton come to mind).
2) If you're serious about applying to Tuck and are not deployed, you have to visit the campus. I've heard of a few people who were accepted that didn't visit, but that is a rarity. You should visit the campus of any school you're applying to anyway, but at Tuck, I feel it's a must (again, as long as you're not deployed).
Hope that helps and, again, if you have any questions about applying to Tuck, please post them and I'll do my best to answer. I found these threads extremely useful during my application process.
Again, best of luck.