Got a link to TSYS01?
One thing missing is that you need to set the SPI SS pin, 10 on an Uno, to Output, so that the Uno is SPI master. If the pin goes low, and undefined pins are inputs by default after a reset (chip feature), the pin will float. If it goes low it becomes an SPI slave.
Typically SPI devices use chip select (or slave select), goes low before the SPI.transfer, then high again after.