My question was about feeding the 1Hz clock stream into one of the counters
It would be a simple matter to set to DS1307 to provide a 1 Hz pulse stream. Then count the pulses.
The ideas was to get the processor to count the pulses in its sleep. It could then wake-up on overflow or threshold.
So an 8-bit counter, like counter 2, would overflow every 256 seconds or 4 1/4 minutes.