  We study the impact of finite-size effects on the key rate of
continuous-variable (CV) measurement-device-independent (MDI) quantum key
distribution (QKD). Inspired by the parameter estimation technique developed in
[Rupert \textit{et al.} Phys. Rev. A \textbf{90}, 062310 (2014)]~we adapt it to
study CV-MDI-QKD and, assuming realistic experimental conditions, we analyze
the impact of finite-size effects on the key rate. We find that, increasing the
block-size, the performance of the protocol converges towards the ideal one,
and that block-sizes between $10^{6}$ and $10^{9}$ data points can already
provide a key rate $\sim10^{-2}$ bit/use over metropolitan distances.
