That is indeed a good idea. I think that's wise. But maybe it is better to start saving it so that you have more money later. And you can also invest more.
It depends on the person if how much profits he wants to get from his investment, if he is not willing to get a lot of profits then he may do the investment no problem if he has a small amount but if he wishes to get quite a lot of profits then it would be better if he just holds the funds till they grow a bit.