It is called analog dial timer as it has no digital display, but the chip is digital it is CD4541. It is Mains operated, you could make on-delay or off-delay. By changing the caps and resistors or with even dip-switches you could get timing of few seconds to many hours.
Battery level voltage measurement is best done with a dummy load. This circuit has four LEDs to show the charge left. It is important to avoid overcharge or deep discharge of rechargeable batteries. Never try recharging normal batteries. Using rechargeable batteries are good for the environment.
A sample and hold is like an analog memory. If The digital control A is low 4066 switch is open, and when A is high switch is closed. U2B is a buffer so as to ensure quick charging of C1 thru 4066 on resistance of 100E. U2A is a FET input opamp buffer which does not load or drain the cap C1.