It will. I bought a house 3 months ago and it had a terrible thermostat that was difficult to program and even programmed it would reset itself occasionally. We bought and installed a Nest and it programs itself by learning your patterns.

I don't know if it's saving us money because I have no baseline to compare it to (other than the previous year's electrical usage comparison on our electric bill), but the device is a breeze to use. The app is nice as well when you are laying in bed and it's too hot or cold in the house - just grab your phone and change the temperature.

I wouldn't hesitate buying one again.