The wise little worker ant doesn't have money, and he doesn't even know what money is. He will stash a quite large percentage of this harvested food (his production) until the stash is enough for the coming winter, for him and for the other non-worker ants.
The wise little worker person, on the other hand, will produce a production P, and get in return some money. Part of that money he will use for consumption C, and part of it he will set aside for savings S. But what he sets aside is NOT production, as in the case of the ant, it is just money - that is, unless the wise little worker person isn't so wise and actually stashes food or car parts or something like that.
The percentage of his production that he is not consuming (after having bartered it through the mean of money) is either going to the consumption C of somebody else, to the accumulation of capital (ie investment goods, thus investment I) or to the actual stashes of our world - stocks S.
If you think not in terms of money, but in terms of actual goods, you should agree that P = C + I + S (everything that is produced either goes to consumption, investment (capital) or stocks).
Now, what happens if C goes globally down, because everybody becomes a wise little worker person? In the immediate, S goes up - the "wise little worker ant" effect, if you will. But soon after, companies that create consumption goods reduce production - because nobody needs big stocks of consumption goods. Now, that could be compensated by increased production by companies that create investment goods - but who is going to request those investment goods, if it looks like people globally want to consume less?
So, what will actually happen is that C goes down, I stays the same or goes down, and after a little time P goes down. And our wise little worker person will lose his job, because less production + increased productivity (technology) = less jobs.
Now, notice that this works on a global scale. On a local scale, it can happen that C + I + S > P - this is for example currently true for the US, and in the long run US citizens will have to decrease their consumption, because that is overconsumption is only compensated by a billion wise little worker ants somewhere else who are actually lending part of their production to the US, in exchange of fiat money. But the decrease of consumption in the US has to be compensated by an increase elsewhere - otherwise, our wise little worker people will discover that ant-economy doesn't work for them.