Simply put, CA glue is crazy glue for wood. It comes in varying viscocities (sp). If you buy the very thin, it simply soaks into the wood so fast you will not have a bond. The thicker stuff or gap filling works better. Hold for 15 to 20 seconds and viola - onto the next piece. Should be available at any woodworking outlet.
Ps. use gloves when working with it - ask me how I know