Looking for a word (or set of words) to describe someone who moves their residence continuously over the years?
For example, imagine a student who goes to an international university where he studies for 8 months and then comes back to his home country for 4 months. And he has to do this for 4 years, and then an additional 2 years in Grad school. Maybe he also studies in another country for one semester as an exchange student.
Therefore, every time he wishes to - let's say - buy something big (like a car or furniture or appliances), he says to himself something like:
"I'm ___________ [only going to stay here for another few years]; there's no point spending that much money".
Also, since he stays back in his home country for only 4 months every year, he does not really feel like it's his real home either.
Solution 1:
Peripatetic is a word for someone always moving around, not living in one fixed place. "Perpetual tourist" is a phrase in use (see Wikipedia) for the class of wealthy peripatetic people avoiding becoming tax resident anywhere.
Solution 2:
As a noun, nomad.
As an adjective, nomadic.
That said, there are many synonyms or metaphors you could use: unsettled, rootless, peripatetic...