At ~2:20 in "Hawkeye," the saxophone starts playing something like this, which repeats until the end of the song:
There are some similarities between this and the vocal chant ("Ho hey ho / Ho hey ho...") in Paul McCartney & Wings' "Mrs. Vandebilt" on Band on the Run:
(This also appears near the end of "Picasso's Last Words (Drink to Me)," albeit a whole step lower.)
Each is an eight-measure section, and at the end of (almost) every other bar, there's a pair of descending eighth notes (always a fifth in "Hawkeye," but alternating between fourths and fifths in "Mrs. Vandebilt").
While there's a similarity between these two parts, I don't know if this is just coincidental or if it's an indication of Paul McCartney's influence (whether conscious or not).
One of the bonus tracks on the Vulture Culture CD is a demo version of "Hawkeye," and in the liner notes, Alan Parsons comments, "This is one of my demos," so I'm assuming he had more to do with this particular track than Eric Woolfson did. Of course, Parsons workt with McCartney in the Beatles on Let It Be and Abbey Road and also on McCartney's Red Rose Speedway (the album before Band on the Run), and in this interview (in the section beginning ~21:04), he mentions being impressed with McCartney's musical ability (with particular reference to the Moog solo in "Maxwell's Silver Hammer").