I recently interviewed with a national airline and I only brought my printed copy of Safelog. I haven't had an updated paper logbook in 3 years.
I printed it out with my endorsements on green paper and spiral bound it at Kinko's with a vinyl cover. It cost about $25.
The chief pilot asked me a few questions about it, but ended up liking it in the end because it's much easier to read. I also marked all of my checkrides with sticky tabs. I was offered the job two weeks later.