The hydrofarm thermostat is an on/off style thermostat. It is rated for 1000 watts (8.3 amps @ 120 volts watts equals amps x volts), though I wouldn't trust one to pull a 1000 watts for an extended period of time.
What type of bulb are you using? an incandescent bulb, a fluorescent bulb, a halogen bulb, or some sort of HID arc bulb?
Why do you want to use a thermostat for the bulb but not for the heat mats that would benefit from a thermostat much more?
What are you using to measure temperatures in the cage? What type of substrate are you using, and how thick of a layer?