Thanks for the follow-up question. With respect to a "cut off", it depends on what you mean by cut off. Most instututions limit the number of credit hours that can be transferred in. There are also certain courses such as Information Technology and Computer Science courses that are generally not accepted after 5 or so years because that content is outdated. English, History, and other similar courses generally don't have that problem. Where you do sometimes find problems, though, has to do with course content. Let's assume you have take U.S. History and a U.S. History course is required at the new school, but the content of these courses are different - that course, though similarly named, may not be transferable based on content.
Another common problem has to do with the courses required to earn a particular degree. For example, many institutions require "X" number of credits in liberal arts courses that may be more than your current institution requires. This, too, could potentially reduce the amount of transfer credit you can receive. As you can see, it gets complicated which is why I always recommend getting an unofficial transcript evaluation completed before you enroll to minimize the likelihood of any surprises.
I certainly don't claim to be an Ivy League admissions experts, but below I've provided links to all of the transfer admissions pages for each Ivy League school. A couple of things stood out to me as I reviewed the requirements: A) Each school appears to accept a very limited number of transfer applications B) Transfer applicants must have completed at least one year of college, but no more than two.
**As of right now, they do not have a transfer admissions process; however, that is expected to change in 2018.