This paper introduces rough I2-lacunary statistical convergence for complex uncertain double sequences (CUDS), extending concepts of rough convergence, rough lacunary statistical convergence, and rough I2-convergence. We explore this notion across four aspects of uncertainty: almost surely, measure, mean, and distribution. Additionally, we investigate rough I2-lacunary statistical convergence in p-distance and metric spaces for CUDS. The study illustrates the interconnectedness of these convergence concepts and offers observations on their relationships.