Cut List for Web version

I’m new to SketchUp so I have never used the downloadable version and am only working on the web version. Is there a cut list option as there is on the old downloadable version?

No. Currently the web versions don’t have any facility to use extensions. You would need a desktop version for that. If you are using it for hobby use, you can get SketchUp 2017 Make from It will work with the various Cut List extensions. MMy favorite is CutList by Steve R which is available in the Extension Warehouse.