Very cute! Minor bug report: when you click to remove a shirt, the shirt is removed from the character by mouse down on the area, but isn't returned to the wardrobe until mouse up on the area. This means that, if you move the cursor out of the clickable region before releasing the mouse button, the shirt vanishes completely until you click the region again or add a different shirt. The other clothing parts seem to all use mouse up for both actions, so this only affects shirts.
(That said, it kind of fits the aesthetic to have a couple tiny bugs around the edges haha)