You're all vastly overestimating the amount of data that a workplace chip would need to contain in order to be useful for access, and for timekeeping. For access, it simply needs a code that is read by the door/gate sensor, and for time keeping an identifier that is then registered and placed on a recording document of database. The code recorded can then be matched to the employee records for timekeeping. In exactly the same way that a card entry system would do it currently.
This is simply new tech. People are always unduly frightened by new tech.