I really like this idea, though ideally people would give some indication of their height in their description instead of making more work for the coders. Looking at someone and knowing they're exactly 5'5 feels almost too accurate, but it can be hard to know with someone on the high side of average and on the low side of average when they don't give any indication of their height so you'd know which would be taller, and often times I need to ask OOCly if it's relevant to the RP happening. Something similar to the health indicators like "%S is very/slightly taller/shorter than you" would be perfect, though possibly create an issue with appearing taller/shorter.
Another option though would be for players to hassle one another about it.