I don't think there's any way to directly make money from Twitter, but of course if you have a lot of followers you have some options, which are mainly:
(1) Encouraging them to sign up to money making websites as your referral.
(2) Sending links to articles that are paid per view, and asking them to click on them.
I actually did the latter when I was fundraising - I had a page on Triond and decided that every cent generated by that page would be given to the charity that I was raising money for. I posted it to social media, and people sent it around, and it made quite a lot of money. I then posted payment proofs to show that I had done as I promised. So it kept going round. I know that gathered a lot of steam because it was for charity, but there are lots of other things that would have the chance to go viral, too. I very much doubt that you could make much money from a small Twitter page.