Clyde on a Lynskey
I am right around 230 lbs. I have a Lynskey R350 with maybe 10k miles on it. No issues. The bike is wobble free up to 35 MPH peddling as hard as I can with a little help from a good strong tail wind.
As others have mentioned, wheels and some of the other components will be the biggest issue. When I weighed 270 I had a custom wheel set made with 36 spokes, Hope hubs and DT Swiss rims and spokes.
Current wheels are Rolf Echelon and the front has been flawless. I broke a couple spokes on the rear which Rolf fixed and they say I should not have any issues.
I have a carbon seat post and at 230 it is not a problem. I did break one on my MTB by landing off a jump while seated. Not the most fun I have ever had. MTB now has a Thompson alloy post, which is less than 100 grams more than the carbon post.