If it makes you feel any better, I was actually RUNNING a training course for some of our team, in one of the more conservative parts of India, and had packed suitable clothing; no low necks, nothing sleeveless etc.
On day two, I chose a button-down workshirt that I hadn't worn for a couple of years, and was slightly tighter round the chest than I remembered. Middle of the meeting, I felt a strange popping sensation, and realised that the top 5-6 buttons had come undone, turning it from a smart City look to something resembling a 90s Wonderbra ad.
I spent the rest of the day resembling a T-Rex, as I tried to keep my arms folded in front of me with weird flappy hands covering the key area, while none of the (all-male) attendees knew quite where to look.
To top things off, the Icelandic volcano then erupted, so rather than being able to slope off home quietly, I had to spend an extra 10 days seeing the team every day in the office!