If you have enough RAM, start with a ring buffer.
On interesting event: compress and transfer the relevant chunk of audio from the ring buffer back to Earth.
Interesting event trigger ideas:
1) loud sound after quiet time
2) manual timestamp request from control
3) video clip recording
4) midnight, sunrise, noon, sunset. These are mostly so you have some daily baseline.
5) science package running
6) rover moving
7) abrupt camera change
I'd add:
8) Quiet but above-noise sound persisting for some time (might be worth checking out and then adjusting the cutoff level up, if it turns out to be more wind)
9) Complete silence (possibly malfunction) or sound levels dropping far below expected background (weird).