In large community hospitals the clinical pathologist is often not doing clinical pathology as a full time job. It varies. Some hospitals have a person whose only job is the CP, but many do not.
I do a lot of CP and it involves meetings (both hospital-wide with other specialties, and intradepartmental), reviewing quality data, procedures, refining procedures, addressing problem cases (this is a big one on certain days - one phone call about a problem can take an hour to resolve), not to mention the continual learning that goes on and staying on top of trends, clinical recommendations, and literature.
Heme is such a hybrid because it can involve things that many consider part of AP like bone marrows, lymph nodes, flow, molecular. Heme can involve a lot of slide reviews in addition to the above things.