From Microchip Technology, Inc.

This application note discusses the use of the PIC16CXXX Timer1 module as an asynchronous clock. The Timer1 module has it own oscillator circuitry, which allows the timer to keep real-time, even when the device is in SLEEP mode. When the device is in sleep, the oscillator will continue to increment TMR1. An over-flow of the TMR1 register causes a TMR1 Overflow Interrupt (if enabled) and will wake the processor from sleep. The interrupt service routine can then perform the desired task.
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