If I were to use it for a ton of paper and chipboard like material - would it bind paper well and stick? Or is there another glue that's stronger?
Rubber Cement is probably your best bet...
How Strong Is Rubber Cement
Rubber cement is good in some cases for paper because it doesn't cause water damage to the paper (curling, wrinkling, shriveling, etc.) However, it really doesn't create a strong bond with paper, and can peel off with little trouble. It is not archival approved, and will cause damage to paper over time. I wouldn't use it for anything I wanted to keep.
