TRIX (to Lorelai): You know Shakespeare once wrote, “Neither a borrower nor a lender be”.
The quote Trix refers to is from Shakespeare’s play Hamlet, earlier mentioned. In the play, Polonius is giving advice to his son Laertes, including this maxim. In fact Shakespeare doesn’t seem to be endorsing Polonius’ views, as he’s portrayed as a boring old windbag who’s wrong about pretty much everything.