This another alternative UI for avatar attachments. It is similar to
VWR-4063 in that it offers an interface similar to the "Appearance" screen, whereby you see your avatar 'posed', with an inventory window to the right showing only items that can be attached.
The "bubble" UI however draws 'bubbles' for each attachment currently on the avatar's body, they simply contain the name of the attachment, and a little "X" (or other icon) to remove the attachment. They have a line pointing to the attachment they are for. Attachments can thus be easily added from the inventory window as normal, and can be quickly removed using the bubbles to identify an attachment and remove it.
For added visibility, when a bubble is rolled-over (the mouse is hovering over it), the attachment it corresponds to should be highlighted by tinting it a different colour, and making all other attachments partially transparent so that it can be seen more easily when buried beneath other attachments.
Please see the attached image for an mock-up. Please note that my choice of example is a bit poor, as all my avatar parts are named after the positions they represent, so please remember that the bubbles represent attachments, not attachment points =)