Start by adding some things you can easily purchase or reaquire, to get a feel for how it works.
I've tentatively used it to set up a plate for my machinist glamour, which I'm currently leveling and was glamouring with gear I was happy to put in the dresser. It's certainly a good easy way to reapply the whole costume at once! The only disadvantage would be that I don't think you can apply glamours "in advance" so it looks right as soon as you equip it.
It's definitely a bit nerve-wracking (moreso that I'd ever expect to feel while going through inventory menus!) that you have to decide whether you're happy with not having it accessible otherwise. Right now it's a bit of a thought process for each piece.