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Like, Peter, unaware of any recommendation. Several years ago, I worked in a environment where (original series) 3750s were occasionally stacked to their max of nine. Don't recall any notable issues. However, it you scan these forums, some seem to have issues with large stacks, e.g. like John's post.
Peter mentions no performance degradation. In our deployment for user edge switches, we didn't see any performance issues, but in theory as stackrings are not fabrics, a large stack may run into stackring performance issues sooner than smaller stacks. (NB: This is more likely with StackWise vs. StackWisePlus, as the former floods all traffic to the ring.)
BTW, if you're buying new, you might want to carefully compare 4510 series to large 3750 stack. The 4510 might be less expensive and likely offer better performance. Also if you're buying new, you might want to examine the new 3850-X series, although at the moment they don't support stacks of more than four units.
