As of November 1st, 2008, Continental has lowered their carryon baggage restrictions to 45 linear inches (basically in line with most other airlines). They've had a reputation for being more leniant with a slightly larger limit of 51 linear inches. As always all the information is published on their website.
On various forums people have been discussing how they are cracking down with oversized carry on baggage, especially if the plane is full, so if your bag is questionable (and doesn't fit in one of those ridiculous baggage sizers they have at checkin) then make sure you get to the gate nice and early, and prepare for a possible argument with the gate agent about gate checking your bag.
