Let's see, there was the time while still living at home, around 16 or 17, that I went down for a shower in the morning. When I came back upstairs, my mother was sitting in the kitchen looking over mail. I just so happened to have tucked beneath my arm, under my bathrobe, a rolled up wet diaper that I was planning on disposing of discreetly when I went to work. As I crossed through the kitchen, the diaper slipped and I had to shift swiftly and awkwardly to catch it while it was still under the robe. She eyed me suspiciously, but as it didn't fall out into the open I can only imagine what she thought was taking place.
I had another close call while living with a roommate in a space with only sheets for a door. I was in bed, in only a diaper, when he came strolling in. He said something about hanging out and going somewhere and then continued to stand there waiting for me to get out of bed. I told him that I needed to get dressed and requested a bit of privacy, so he stepped out into the next room not 10 feet away. I had to slowly and carefully pop the tapes under the blankets to muffle the sounds, which took an awkwardly long amount of time to do, before jumping up, getting dressed and going with him.
Then there was the time in the grocery store with a new diaper tucked into the waistband of my pants, as I was attempting to smuggle it into the bathroom to change into it. I was passing near the check out when it popped out of hiding and slid across the floor in front of everyone. I bent quickly to retrieve it and then moved rapidly toward the bathroom with several people watching me as I went.