The phrase "two-way connected" is correct and usable in written English
You can use it to refer to a relationship in which two sides have a mutual connection or influence. For example, "The two countries have had a two-way connected relationship for many years."
"Hopefully the arrests of these three shady looking immigrants, who are in no way connected to 20th Century Fox, will resolve any speculation that the leak was intentional and that Fox itself is to blame".
It was there that the Hasidic movement originated around the middle of the 18th century (it was in no way connected with medieval German Hasidism).
In the 20th and up to the present, Stevie Smith, Douglas Dunn, Roger McGough, Sean O'Brien, Peter Didsbury, and Andrew Motion have been in some way connected.
The more-plausible view is that homosexuality was in some way connected with the rise of the polis and was part of what has been called the "8th-century renaissance".
But in the 21st century, when all women have been touched by that movement, feminists such as Moran seem to be isolated in their (western) sector, not in any way connected with the rest of us.
Update: Facebook is using Plaxo as an example of enabling two-way flow between Facebook Connect, so you can share activity between 3rd party sites and Facebook via linking accounts.
From the way campaigns connect to supporters, to the way those campaigns are covered, to the way voters decide who to vote for, 2008 has delivered the first truly 21st century presidential race.
In the 21st century everyone should have a way to connect online and find anything they need.
Are groups like the April 6th group able to help and find ways to connect to protesters elsewhere?
Kutscher says he wrote Babylon Berlin as a way of connecting 1920s Berlin and American gangsters – two 20th-century worlds that have always fascinated him.
