About 22% of US married couples met at work, and that number is increasing. Of course, dating subordinates is a clear no-no.
Any given relationship sprouting from coworking isn't terrible, but in aggregate, I think it warrants a decent amount of frowning.
At the worst it can be akin to nepotism which can quickly erode morale and productivity -- (there's no reason to work harder since the "fiance" will get the promotion).
At a previous company a manager dated her direct employee, and working in her team was really an awful experience because of it. Everyone knew it, and nobody could say anything for fear of retribution.