Quote from LynnLRN
Maybe a quote on the cover letter would be ok. However, I feel like I've always been taught that employers like resumes to be straight and to the point, no fluff. Plus, usually resumes/cover letters that are submitted are scanned for certain things and it doesn't really matter what you put on it. I feel like during the interview is a good time to talk about your previous evaluations.
Actually what I've been "hearing" over the last few years is that the model is changing slightly.
In this job market, when it's aassumed the receiving person has forty or more resumes and cover letters piled on their desk, I've seen more than a few professional suggestions that include changing it up a bit: something to make your resume stand out and memorable.
No, I don't mean spraying the envelope with perfume, but personalizing it within professional bounds.
Given this, I'm not so sure that the OP's idea is a bad one.
And as a new grad, she/he should play up strengths and be proud of them, without coming off as pretenious. A quote or two from an instructor in the context of scholarly accomplishments she/he has worked hard for and is proud of...might be a great idea.