Most of what comes off a remodel or a cleanout is fine. The limits come from Wisconsin's statewide disposal bans and from the county facility that takes the load.
Wisconsin bans a long list of materials from every landfill and incinerator in the state, and the ban reaches homes, businesses, and job sites alike. It covers electronics, major appliances, lead acid batteries, waste tires, waste oil, used oil filters, and yard waste, along with cardboard, glass containers, office paper, newspapers, magazines, and the common beverage and detergent bottles. One old TV or one car battery in a full container can put the whole load at risk, so pull those items out before you start loading.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos also stay out of a standard container. Asbestos is not a flat no at the county site, but it needs at least 24 hours of notice and separate handling, so it has to be arranged in advance rather than loaded in with everything else.
Wausau's own curbside service will not take construction or remodeling debris at all, and that includes concrete, brick, paving material, soil, stumps, and large furniture. That is exactly the gap a roll-off container fills. If you are unsure about one item, ask your account manager before it goes in.