Imagine a currency for an off-grid society where there is no internet and only peer to peer communication. How would a digital currency look like?

After some thought, that currency might be "time". You ask someone else to perform an action in exchange for their time in return.

Person A gives NN minutes of their life to person B in exchange for XYZ.

This means person A takes a commitment (signed digitally) to provide NN minutes of service to person B at a mutually agreed task (e.g. planting potatoes, harvesting, etc).

Such debt can be given to others. Person B gives minutes from person A to person C which can now demand those minutes to be serviced. All with digital proof of receipts when completed on both sides.

This system has faults, just remember that we are talking about an imperfect digital world without internet. It would work reasonably well on small communities where some level of trust is to be expected.

What are your thoughts? Would it work?