Long-term continuing education programs have been a key factor in shifting toward more patient-centered clinical pharmacy services. This narrative review aims to describe the development of Helsinki University Hospital (HUS) Pharmacy’s in-house Comprehensive Medication Review Training Program (CMRTP) and how it has impacted clinical pharmacy services in HUS. The CMRTP was developed during the years 2017–2020. The program focuses on developing the special skills and competencies needed in comprehensive medication reviews (CMRs), including interprofessional collaboration and pharmacotherapeutic knowledge. The program consists of two modules: (I) Pharmacist-Led Medication Reconciliation, and (II) CMR. The CMRTP includes teaching sessions, self-learning assignments, medication reconciliations, medication review cases, CMRs, a written final report, and a self-assessment of competence development. The one-year-long program is coordinated by a clinical teacher. The program is continuously developed based on the latest guidelines in evidence-based medicine and international benchmarking in cooperation with the University of Helsinki. With the CMRTP, we have adopted a more patient-centered role for our clinical pharmacists and remarkably expanded the services. This program may be benchmarked in other countries where the local education system does not cover clinical pharmacy competence well enough and in hospitals where the clinical pharmacy services are not yet very patient-oriented.