A dispensing system for dispensing a viscous, flowable product such, for example, as a spin-art paint solution, comprises an axially extending container that defines an opening and an interior chamber for receiving and storing the flowable product. A discharge assembly is coupled to the container, the discharge assembly being dimensioned and arranged to spin, relative to the container, as it receives the flowable product from the interior chamber. The spinning motion of the discharge assembly, which may be accompanied by a linear movement of the container itself relative to a target surface, allows the user to cleanly and evenly distribute the flowable material onto a target substrate in an attractive, curvilinear deposit pattern. Optionally, the discharge assembly may be configured with a pivoting nozzle that can be moved from a position for obtaining a helical (curvilinear) deposit pattern to a position for obtaining a rectilinear deposit pattern.