Interest earned or paid on interest.
If you invest $10.00 and earn 5% interest annually, you will receive $0.50 interest ($10.50). Now, let's say you reinvest that interest, so it earns interest too. You now earn interest on $10.50 instead of only on the original $10 investment.
Reinvesting your dividends leads to an ever-growing interest payment every year (hint: That's how the magic happens π). Over time, you just may have a big ol' nest egg to enjoy all on your own or share with that someone special.