It's not entirely clear from your post, but it kinda sounds like you're planning to do the whole tung oiling in a week, then waiting another week to set? That's a real bad idea in my experience, with pure tung oil (I've tung oiled two guits). I know the can says '24 hr minimum' between coats, but truth be told you're gonna need MIN 48 hrs and 72+ is better between coats. Longer if it's cold where you live (I'm in LA and it's great guitar finishing weather, add more time if it's colder where you live). When you apply a new coat to a not-yet-ready layer you very quickly get gummy yuckiness that never quite goes away. My first one, I followed the directions on the can and it was like my whole guitar was coated with soft nasty-smelling wax. Had to sand off and begin again, whole thing took about a month. Take your time, get it right the first time, you'll never regret it.
I'm not sure if I agree with CB about waiting a full week between each coat, but I guarantee you you'll want more than 24 hrs. between coats.
As CB said, though, if you do it right, a week of waiting for it to cure is probably fine.