but come to think of it, those little amount of money that you want to be keeping as savings why not use it and invest in BTC continuously becaus that money you want to keep as savings can also be called your (discretionary income) rather than keeping it in a bank as savings which will not bring you profit in return, why not use the money and be buying BTC and hold it for long period of time, no money is too small to be invest.
It's a good idea and a nice decisions but alot of things need to be considered here first, which is the need for going into crypto investment. Because you need to firstly take note of everything if it's the right time to invest and also take not of the risks factors, I know that some people will prefer to save their money elsewhere in a local way than investing in Bitcoin mostly because they are scared of loosing their money.
I did this trick though to close some of my credit card bills. I mean if I have like small amounts like $20 then I will simply pay my credit card and without knowing, I was able to close most of them.
So this is possible for our Bitcoin investment, it might take sometime though. And because of it, we should developed to be mentally tough as this is a long term investment for us. There might be time that we wanted to sell and take profits or simply stop those little amount of money as a investment because we don't have the patience anymore.