A new approach to providing scientific computing services is currently investigated at CERN. It combines solid existing components and services (EOS Storage, CERNBox Cloud Sync&Share layer, ROOT Analysis Framework) with rising new technologies (Jupyter Notebooks) to create a unique environment for Interactive Data Science, Scientific Computing and Education Applications. EOS is the main disk storage system handling LHC data in the 100PB range. CERNBox offers a convenient synchronization and sharing layer, similar to Dropbox and other tools and it is available everywhere: web, desktop and mobile. The Jupyter Notebook is a web application that allows users to create and share documents that contain live code, equations, visualizations and explanatory text. ROOT is a modular scientific software framework which provides all the functionalities needed to deal with big data processing, statistical analysis, visualisation and storage. The system is integrated in all major workflows for scientific computing and with existing scientific data repositories at CERN. Direct file access is provided using a range of access protocols and tools: physics data analysis applications access CERNBox via highly-optimized xrootd protocol; for file-system access is provided via fuse mounts for Jupyter Notebooks; batch and Grid jobs may use webdav access authenticated with Grid certificates or local Krb5 credentials. We report on early experience with this technology and applicable use-cases, also in a broader scientific and research context.