An eligible student who receives a grant for access and persistence under this section shall receive such grant award for each year of such student’s undergraduate education in which the student remains eligible for assistance under this subchapter and part
C of subchapter
I of chapter
34 of title
42, including pursuant to section
1091
(c) of this title, and remains financially eligible as determined by the State, except that the State may impose reasonable time limits to degree completion.