I only went out with my husband three weeks before we moved in together and he managed my money because I had no idea what to do with money. He made me learn all about budgeting and all of that. So, if he spent too much on me, that was on him because he had control of all of it.
If you feel like that, tell him you do. Are you in an uneven financial status right now? If you are, think of ways to make it more fair between you so you don't feel so insecure. You can always swap things. If he's paying for eating out or the movies, do the dishes or laundry or something to give him something back. It isn't always about money, you know. Some people appreciate the things you do just as much as they appreciate money.
It also depends on if he is NT or Aspie. NT guys expect to spend money and honestly, the ones who like Aspie girls are probably by and large more so this way (I've seen that quite a bit on here and it jibes with my own relationship). Aspie guys have different expectations so it depends on whether he is NT or AS. My dh would have had a fit if I had shelled out half the money for everything. That's why it's best to talk about it. If you just feel bad because his money is tight, let him know. It will tell him you are thinking of him. You can say something like, I know you have to watch your money so what if we go to a bookstore or a museum instead of going out to dinner. It gives him some alternatives without making him feel bad. But get to know him first. See if you can figure out how he will react.
_________________
People say I'm crazy
doing what I'm doing,
Well they give me all kinds of warnings
to save me from ruin