clearly saving money will not make you rich. your money that you save in the bank will decrease in purchasing power due to inflation. because bank rates are always below inflation. so your money is not an asset but will experience a decrease in purchasing power.
Saving will not increase in worth but saving is important in order to cope up with inflation. Something is better than nothing so i think saving little money is better than spending whole money in useless things.
If someone is not consider saving as a good technique then he can use this saving amount for investment but in investment you will have fear about dropping of money. To become rich is only possible through investment so take the risk if you want to become rich and leave the upcoming results on the situations of market and for such purpose bitcoin investment is suitable option.