I've seen a few posts on this topic, so I thought I'd just provide LRW's view on visiting & applicant initiated interviews (just one gal's opinion).
So the rule of thumb is: if you want to go to Tuck, you have to visit.
I agree with this in principle, but I think there are some qualifiers here:
1. If you are international (certainly) or non-Northeast based (likely), I believe adcomm is more flexible in understanding if you're not able to visit Hanover in person,
so long as you demonstrate your knowledge of Tuck's culture and your interest in the program and perform well on the skype interview.
2. Tuck wants you to visit not only to show you care, but also to
make sure you really "get" the Tuck culture. It's not just another hoop to jump through. You might figure out that Hanover is just plain 'ole too small for you. Or you might figure out that you just gosh darn LOVE Tuckies (this was my experience).
3. It's a risky move, but you
could decide to wait and see if Tuck invites you to interview. On the application, it asks when you have visited/will visit to interview. I left this blank and said (truthfully) that my crazy consultant travel schedule made getting to Hanover totally impossible before the deadline. A few weeks later I got an invitation to interview (and read this as a strong signal to get myself to Hanover). For me, this was sort of hedging. After the invite, I felt that Tuck was interested in me, and that it would be worth my time & miles to visit.