The linkedin policy you agree to when you sign up indeed leaves you with ownership of content
"We will get your consent if we want to give others the right to publish your content beyond the Services."
But that license to publish would not extend to scrapers, so they would if re-publishing data, be violating copyright - it appears. Probably not for facts "Greg works at Widget Co." or statistics -- but probably for explicitly copying content, photos, etc. So linkedinclone.com (hypothetical) wouldn't be legal, but a service which scraped and reproduced facts would be.