Well... I'm not sure what they mean by "partially". A CR2032 battery is 3V and the resistance of human across skin is likely to be around 1M Ohm. As V=IR, that will result in a discharge of approx. 3-micro Amps. A CR2032 has a capacity of around 200mAh, so with a discharge rate of 3uA, the battery would be discharged in just over 65,000 hours from holding it alone. That's over 2700 days = nearly 7.5 years.
So... holding the battery for say 1 minute would discharge it about one four-millionth of its capacity - which I guess is technically a "partial discharge"
On the other hand, I do recommend avoiding excessive handling of these battery so as not to get grease and muck from fingers onto the surface where the contacts are made.