It has happened to me a couple of times.

First time was landing in Seattle on an SAS DC-10 (obviously several years ago). SEA was fogged in and we had been diverted to Edmonton where we sat on the ground for a few hours. When we finally got to Seattle we circled for an other hour and then attempted to land. Then main gear was on the ground when suddenly the engines roared and we shot back up.

The captain came on the PA and explained that he had "overshot" the runway and that the fog had now gotten worse and he wouldn't be able to make another landing. We were told that we were now heading for Portland where we were supposed to wait out the fog.

All of a sudden we started descending however, and the captain said there was a "hole" in the fog and "he was going to give it another try". It was extremely foggy and I couldn't even see the wing tips, but he made a perfect landing and we all let out a sigh of relief.