Print your resume on nice paper and bring it to the interview ("Mr./Ms. So and So, here's an updated copy of my resume"). Unless your typo was in or near your GPA or class rank listing (or perhaps in the description of your 1L summer job), I highly doubt they will notice at this point. How much time do you think busy recruiting coordinators (and sometimes lawyers) can afford to spend reading OCI resumes? They won't even read the resumes of students that fall below the grade cut-off for a given school and, even past that point, they won't be looking at it very carefully.
Then again, you are applying for a $160k/year job where one of your main duties will be proof-reading, and the single most important document (to you) that you have ever produced was that resume.