Is there such a thing as "too small"?

There is a butcher shop close to my office which has a sign boasting their service. "No order is too small". I would like to test that. I wonder if there is a limit to their tolerance. I've decided to go in and ask for a single piece of ham. Cut very thin - so thin, in fact, that I am able to see through it. I plan to do this every day for a week. And eat it in front of them. I bet they would be changing that sign, that's for sure.