"Run" in the line "And then you run" is sung with a melisma, although it's not always the same. At ~0:47 and ~2:52, it's C Ab F, but at ~1:47, it's Ab G F G. For both, there's a musical sense of the movement of "run[ning]."
"Away" in the line "Your eyes are lookin' out so far away" (at the beginning of the second verse) is sung with a melisma (C D F), musically giving a sense of distance.
At the end, in the repeated line "Starlight, your eyes are lookin' down on me, so far away," "down on me" is sung to a descending phrase (D C Ab, I think), giving a sense of that "down," and "away" is sung with a melisma (Eb D C Bb A), giving a sense of distance again.