Physical Danger
Unless you're a bookkeeper for the mob, you're unlikely to find yourself in any physical tight spots. If you are a bookkeeper for the mob (and by the way, don't do that), just make sure you don't laugh...or make any mistakes at all.
Sure, there's the occasional eye strain, or maybe a stiff neck from sitting in one spot for too long, or carpal tunnel from the ever-loving adding machine. But most physical hazards of bookkeeping range from mild to moderately annoying and can be avoided with proper posture and taking breaks from looking at computer screens.
Make sure you eat healthy, don't drink too much coffee, and try to work in some routine stretches while plugging away at those numbers. This will counteract some of the long-term effects of sitting in one place for most of your workday.
Basically, you're pretty safe.