Thanks everyone, and thanks for the recommendation of this chip - it looks perfect!
Now to figure out how to use it. Aside from the obvious drain pins, vcc and grounds. I think I need to connect:
Pin 9 (output enable active low) = ground
Pin 12 RCK (register clock) = VCC???
Pin 3 SERIN = arduino data out pin. I'm using a teensy so one of the MOSI pins
Pin 18 SEROUT = another shift register if using one (which I will be)
Pin 15 SRCK = Arduino clock pin. I'm using a teensy so I guess one of the SCK pins?
Pin 8 SRCLR (clear register) = Connected to vcc
I'll have a look at some example sketches tomorrow and perhaps order one to test on my breadboard 