Some people I know say that routinely: "I leave here", "I'm leaving here", "I'm going to leave here" and so on. Somehow that phrase doesn't feel right to me (I would've said either "I leave this place" or "I am out of here"); they insist it is correct, but, since neither of us is a native speaker of English, I don't trust them, but I don't trust my "gut feeling" either. Googling those exact phrases returned no results, but that may as well mean that they are not wrong but just too generic. Also, "I come here" is correct, and "come" is the same kind of word as "leave", so, perhaps, using "leave" instead of "come" isn't wrong either.
Is it grammatically correct, and if so, does it sound natural to say "I leave/am leaving here"?