In this paper, we investigate the performance of physical-layer security of a pinching-antenna system on a lossless dielectric waveguide. In particular, the system uses a single pinching-antenna to convey confidential information from a base station to a legitimate destination equipped with a single antenna, while an eavesdropper, also equipped with a single antenna, attempts to decode the transmitted information. As such, the performance of the pinching-antenna system is evaluated in terms of average secrecy capacity, strictly positive secrecy capacity, and secrecy outage probability. To this end, accurate mathematical expressions for the aforementioned performance metrics are provided. To validate the analysis, the analytical results are numerically evaluated and further validated through Monte-Carlo simulations. The results demonstrate that secrecy capacity between the base station and the legitimate destination improves when the height of the pinching-antenna placed closer to the destination. Additionally, the performance can be improved when the eavesdropper's location over a rectangular area increases.

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