Battery Life and Current Estimation
The current consumed when the Clock is ticking and the minute hand moves:

Around 55 microAmpere.
The current consumed when the Arduino and RTC are in low-power mode:

Around 6 microAmpere.
Average Current
The clock ticks approximately 6 minutes each day*, averaging current for a whole day :
= [55 uA X 6 min + 6 uA X 1434 min ] / 1440 min {1440 min in a Day }
= 6.2 microAmpere
AA Alkaline batteries have capacities of around 2700 mah to 3200mah for a current draw of around 0.5milliAmpere upto 1.2V.
Considering the battery capacity as:
1) 2500 mAh
2500 mAh / 0.0062mA = 403,225.806 hours = 46.03 years
2) 3000 mAh
3000 mAh / 0.0062 mA = 483,870.96 hours = 55.23 years
Although the current draw is significantly low, Alkaline batteries have a shelf life of 10 - 15 years. It would be interesting to see the real-world battery life but would have to wait for a long time though.
Josh Joy





Since we are running the Arduino pro mini off a single 1.5V AA battery, we need to reduce power consumption by removing components such as the voltage regulator and SMD LEDs. These can be desoldered using a soldering iron or a screwdriver can be used to break these from the board.
Wire the Arduino Pro Mini & DS1307 RTC with the clock mechanism as per the above diagram. Note that if you still want to use the battery holder on the clock mechanism you would have to open up the mechanism and disconnect the wires from the battery holder to the PCB.
Hi Josh -- cool build, I like the bootloader mods for running the Arduino off 1.5 volts. Wrote this up for the blog, should publish soon. Thanks for tipping us off, and good luck in the contest!