When does the clock stop for OOB?

[ChuckElias]

I'm a basketball guy, but I like to think that I know at least the rudiments of football rules. But I came across this today and couldn't believe it was true. It relates to the NFL, not college or FED, sorry. But NFL is the only football I watch. Here's what I found.

[Regarding the] Troy Aikman-Joe Buck duo on FOX -- they seem to pay closer attention to the game than do most announcers. Aikman isn't snazzy, but he's rarely wrong. On Sunday, though, in the fourth quarter with Seattle holding a big lead, Aikman complained that the Hawks' runner messed up by nearly going out of bounds and stopping the clock. That would have been correct when Troy was playing. But the rule has been changed: now the clock only stops when a runner goes out of bounds in the final two minutes of the first half or final five minutes of the second half.

I've never noticed the clock continuing to run after the runner goes OOB, although I guess I don't really watch the clock that carefully. Is this really correct? Is it also true in NCAA and/or FED?

Just curious. Thanks for any help.