Our house has gas heat and runs about $600/year so no big savings are available by reducing gas consumption a few percent.
Wife and I keep different hours and have different comfort levels so,,,,,we have declared a truce in the thermostat war and settled on a single setting all year.
The t-stat died last week so I replaced it with a basic nonprogrammable Heat/Cool unit. It has no LCD display and no batteries, just a lever to be moved left and right and Heat/Cool and Fan On/Auto switches. $22