We wish the amount that we have been saving for long time might work 2 or even 3 times better in the future or at least your saving can used for good thing not just for your daily needs. Because, that's what saving supposed to be.
It is important to save as much money as you want, but in the long run it is only financially secure. When the savings reach the required threshold, you should start investing immediately.
But, there is no threshold when it comes to saving. You can saving how much you want and you can't set the maximum of your savings either.