Since this site is US-centric, I guess we should follow the US classification system rather than the international patent classification. (Note that every US patent application or patent contains one or more class under the heading “Current U.S. Class” or “(52) U.S. Cl.”.)
The name of the tag corresponding to a class should be the name of the class. Some classes have names that are too long for a tag; in that case, retain the most important words.
I propose to follow a standard format for tag wikis too. The tag wiki should link to both the schedule (overview) and definition (detailed description), e.g. sched002/defs002. I've suggested a couple of examples with some basic information: amusement-devices-games, data-processing-financial.