Sattie, I'm GLAD you started this thread!
I've never noticed an issue with a clerk cutting too close to an end. But, after reading the responses, I wouldn't hesitate to ask for a new hunk if I needed to.
I HAVE noticed, however, a slight sigh or maybe a resigned expression, when I order prosciutto. They must HATE cutting that! Since it's so thin, it takes forever to get to even a quarter of a pound. LOL!