To me, a purse would have these sort of characteristics:
-It can be opened and closed like a wallet, and can hold very specific items. Particularly: handheld mirrors, any and all makeup products, contact lenses, perfumes and sprays, eyeglasses/spectacles/sunglasses, boxes of business cards. Potentially more/less than that based on feedback.
-It cannot be locked, only closed.
-It can be worn, like an umbrella, and appears when looked at and affects shortdesc accordingly.
-It has a distinct fashion and status value, diverse across various types of purse. As in, there absolutely is the outrageously expensive diamondweave purse for the high powered manager that makes little Juniors leather purse look cheap, and this affects the appearance/shortdesc when worn.
-It can be stolen, but better ones might be sturdier in terms of being ripped off of you.
-It's a slightly effective bludgeon.
-It's a total status statement to have a fancy purse.
Compared to the briefcase situation which lacks a lot of variety and stupid reasons to spend money to dunk on your snobby peers (a major gameplay feature IMO) I think they offer a bit more of an interesting twist with some very specific item-limited utility. Perhaps they may even serve as the sort of fashion object a player tailor of great renown may get to design an example for a fashion brand of at occasional times in the future.