Depends on the paper and the station.
Newspapers are an endangered species and they are yesterday's news, but they are still hanging in there, especially for old timers.
The Oregonian, which has never been the greatest paper in my opinion, has cut back home delivery to 4 days a week. The online version is available everyday. They actually upped the subscription price when they did this and they shrunk, literally, the paper. All the news, global, national and local is in one section now.
For true local news, there is always West Linn Tidings, which is a small weekly local paper. For a different slant on Portland news, there's Willamette Week. Willamette Week does it's best to help "keep Portland weird."