This article investigates the secrecy performance of a dual-hop radio frequency-underwater optical wireless communication (RF-UOWC) system. Using stochastic geometry theory, the eavesdroppers are modeled as a Poisson point process distribution, and RF and UOWC links are modeled as Nakagami-m and mixture exponential-generalized gamma distributions, respectively. Firstly, we derive the statistical laws of signal-to-noise ratio for illegitimate receivers in both colluding and noncolluding scenarios and legitimate receivers when amplify-and-forward and decode-and-forward relaying strategies are employed. Subsequently, closed-form expressions for the lower bound of secrecy outage probability (SOP) are derived. Finally, analytical results are verified via Monte Carlo simulation results, and the effects of channel and system parameters on secrecy outage performance of dual-hop systems are analyzed. Numerical results demonstrate that environmental parameters, such as temperature and bubble levels, exhibit an important impact on the SOP of RF-UOWC systems.