I entirely concur with the majority of the responders here. I know you want to stand out, and you think that putting this very special quote in your cover letter will do that, but actually.... it will make you stand out, but not in a good way.
REALLY do students a disservice when it comes to the basics of cover letters, resumes, and appropriate dress for interviews. I was shocked when I went into my MPH program and actually attended a class on all of those things. (And yes, it was healthcare admin, most of those folks now are CEO, COO, CFO). They detailed dress down to the color of panty hose that should be worn, and if a woman choses pants, what style and type. Was it easier for me to get a job after that...YES.
What I was taught was to avoid anything that smacks of you trying to show some "Personality". Yes, you want to stand out, but, when you try to stand out in your dress, or your resume, or your letter, you detract from your qualifications- as people are suddenly focused on your dress/scented letter/color paper resume, and you also give them an opportunity to reject you- "She dressed strangely, I hate funky chunky jewlrey etc./Her resume was 7 pages, obviously she does not how to be brief/Her cover letter had a quote in it that I really think was cheesy/etc. " If you look like a Professional through and through then they have no outward reason to reject you. Secondly, once you secure the job, you can be as original as you want. it is only for the first look that you want to appear as professional as possible. Do I make sense?
For many years, I think schools have been lax at helping students prepare. The job market was a free-for-all. Its unfortunate now that it is a tight market that schools are not taking more time on how to prepare yourself to get the job.