That doesn't look like the USB version of the Tornado. I have one, and its got a chip etc.
You can plug that into an Arduino Nano, teensy, Micro or some such micro controller, which accepts all manner of inputs and outputs to USB. In the case of a spinner, you'd be making a single axis mouse.
See here:
https://github.com/jandelgado/usb-spinnerIn that diagram, the four connections on the 'rotary encoder' are what you've got there (VCC, GRN, A, B).
ws