The clue answers are:
They aren't long enough to fill the spaces, but if you assign
them to the first numbers next each clue, they provide exactly one
letter for each number, and when transferred to the blanks at the
top, it spells out more clues:
The answer to these clues can go on the unused numbers at the
ends of the original clues, in order:
And when these letters are placed in the order of the numbers, it
gives one final clue:
When you find that sign at MIT (it's a person's name), the
largest words above it are FOREIGN LANGUAGES AND LITERATURES,
an MIT department, and the answer.