The last time I took the lsat, it was when it was paper/pencil and in person. For the new online and at home lsats, can you have scratch paper with you?
If, in studying for the LSAT, you're not going through paper like it's going out of style, you're doing it wrong. The test is a pencil-and-paper test, and you should practice accordingly. Just make sure you follow through with recycling afterward :D