The main use is as Commitment Devices; that is when you (or someone else) don't trust yourself with your own short term decisions and impulsiveness. For example:
1) Compulsory savings plan: you, or your employer, puts (perhaps automatically) part of your income in an output that is locked for some time, maybe for your retirement or other similar goal;
2) Weak hands: perhaps you see Monero's price getting volatile and dip for no particularly good reason, and you had told yourself that your goal was to hold it for a long period of time, but now you are afraid you may panic sell your position. You trust your rational self analysis better than your emotional self, so you send part of your holdings to an output that can only be spent, say, a year from now, when you hope the worst will be past;
3) You are dying and would like to leave your money to your teenage kid, who never dealt with money before. You could make it so that he/she would get, for example, a tenth of the money every year, for the next ten years.