Of course it does. Every cent of income makes sense especially to those who have nothing to depend on when it comes to financial resources. A small investment may give a small profit but if you try to save it can mean so much more than just a small income..
Also, in my opinion, I think with bitcoin growing every week , a small investment may be a fortune in the near future. Saving can make us see how small investments are worth the wait.
I think it is really better to start from a small investment if you don't have enough knowledge in investing. And also, your small investment will eventually grow as time pass by.