Unlike most other martial arts, Tai Chi usually requires no contact between participants. Therefore, hygiene rules are pretty much like daily life. You will be in fairly close proximity to others, so if your job leaves you a little ripe, you may want to shower prior to Tai Chi class. However, if you come to class from the office, there shouldn't be a problem.
The only concern might be if you attend class at a studio that requires you to go barefoot. If you go straight from the office to one of these classes, you might just buy some handy-wipe wet towelettes and clean your feet off prior to going into class.
Don't wear heavy cologne or perfume into class because the deep breathing in Tai Chi may make it overwhelming to others. Again, jewelry should be left at home, especially jangly jewelry.