Someone who's moneyed is wealthy or affluent — in other words, they're rich. If you have a great business idea for expanding your lemonade stand, you should run it by your moneyed aunt to see if she's willing to invest.
A moneyed university has plenty of funds and investments, and a moneyed lifestyle might be characterized by big houses, fancy cars, and luxurious vacations. A reference to the "moneyed class," or a "moneyed neighborhood" might be intended to draw attention to different economic groups within the same society. Moneyed comes from the Old English verb monien, "to supply with money."