This is a design of PCB business card with an LED matrix for display. Traditionally LED matrices are built as modules and mounted as a component. That would be thick for a business card. So, here I plan to use my charlieplexed LED matrix design from the ScrolLED watch project and put it on a business card. This matrix is built from discrete SMD LEDs and is low profile.
Another idea is to mount the CR2032 battery inside a hole in the PCB to help decrease the card thickness. This would mean having non-standard battery contacts on both sides of the PCB with a way of sliding the battery in. Need to work that part out.
Need to follow the standard business card sizes listed at this link: https://en.wikipedia.org/wiki/Business_card For US, it is 3.5" x 2". Also need to have chamfered corners.
Have you considered something like this for battery holder?
http://www.ebay.com/itm/10PCS-CR2032-2032-3V-Cell-Coin-Battery-Socket-Holder-Case-ROHS-/291780285406?hash=item43ef75d3de:g:nvMAAOSwOVpXT86w