People value their time, but they don't value it like an economically-scarce commodity. For example, you may consider your significant other to have an "infinite line of credit" on your time, while you may actually
spend more time actively avoiding people you don't want to spend time
with, than the amount of time you'd end up spending with them (i.e. people can actually have a negative return on time—whereas the worst you can do with N dollars is to turn it into 0 dollars.) People are willing to give others as much of their time as they ask for, if they see some sort of benefit coming from it (e.g. monks living in a monastery their entire lives), while there is only a finite amount of money they'd be willing to spend in the same situation.
This is all because people do not rationally value their time vis. their finite lifespan, but unless you're expecting that to change somehow, you can just take that as a given.
Thus, since time is psychologically considered abundant, then assuming a world that is otherwise abundant, perhaps money would indeed be outmoded by something that captures the psychological value, rather than economic value, of time spent? I think Cory Doctorow's "whuffie" is a good start on that. Rather than whuffie changing as you give or take people's time (i.e. time-debt), it's actually a measure of willingness-to-lend-time, sort of like a credit score. If you borrow someone's bike and win a race with it, and they think that's cool, your time-credit-score goes up; if you wreck it or just disappear, and they don't like that, your time-credit-score goes down. The important bit here is that the credit score isn't actually tracking any sort of real debt, because, for the most part, people don't track time debt; they just write it off and re-evaluate how much time they'll be willing to lend you in the future.