Let's do some math
A single LED like on a charger is probably 6ma * 3 volts.... .018 watts.
.018 watts * 24 hours a day * 365 days a year = 158WH rounded up.
Divided by 1000 gives you .158 KW.
Multipled by your electricity rate, in my case .12 cents per kWh, gives me a total of 1.8 cents per year per LED bulb.
If you bought a $10 timer for this which used ZERO electricity itself, it would take you 555 bulb-years to account for the cost of the timer. If you had 8 battery chargers, you would break even on the timer in a mere 69 years.
Now, the charging circuitry itself probably does take some decent juice... at least MANY times what the LED does, and I have mine shut off with Insteon to keep it from burning the house down when a battery blows up or charger goes bad. Just found the explanation funny