From your title savings doesn't only mean when you are wealthy, as a matter of facts wealthy people doesn't think of savings they think of investment where to channel those money whenever they are wealthy because one thing i believe is that, rich people talks of what will generate money for them while poor people think of work to keep them earning. The rich people think of wealth creation what will keep them afloat whenever its too tough for them to scale through life. In summary think of what will keep generating money for you than savings because i know too well that those money might got finished whenever you stop working to keep filling your saving account.
I want you to understand that Theirs no wealthy person that doesn't have saves and investment, the primary obligations of someone who is wealthy is to be continue increasing on a higher frequency with the little it earn. The reasons while people downgrade or falls during the time having chunks money, is lack of investment, so many people who earn monthly or who is under government always make doubl options of their growth.
Please don't quote me wrongly, savings doesn't yield any increase in my opinion but what keeps you afloat whenever the hard time is there is the kind of investment you have established for yourself long ago, now from those investment you may starts making savings and as well thinking of other resourceful business you could invest again to keep expanding your earnings and savings or better still reinvesting in the previous business also create additional wealth.