The company Cablevisión uses Neo4j to provide seamless cable services to customers by detecting and preventing system failures, leveraging its graph database capabilities. They use Neo4j with Docker, Apache Kafka, Spark, and other technologies to support their ecosystem, taking advantage of Cypher's powerful query language for fast data analysis. The company has implemented various Neo4j-based solutions, including fraud detection, rapid network failure detection, and graph recommendation engines, showcasing its design-centric approach to graph data modeling.