I have a tinyduino with a watch battery clip and am using a CR 1632.  The problem is that it really can't power the TinyScreen.  After just a few seconds, the screen is to dim to see.  I'm guessing it can't hold the voltage high enough.  Is there a simple option for me?  Like somehow putting a second CR1632 in parallel?  Not sure how I would fasten it on.  Is there another coin battery that would work better?

Thanks!  Chad

Unfortunately 1632 cells can't support the current draw from the OLED. A small lithium polymer battery is the way to go if you're able to solder one on.