Relativistic outflows are believed to be a common feature of black hole X-ray binaries at the lowest accretion rates, when they are in their 'quiescent' spectral state. However, we still lack a detailed understanding of how quiescent jet emission varies with time. Here we present 24 years of archival radio observations (from the Very Large Array and the Very Long Baseline Array) of the black hole X-ray binary V404 Cygni in quiescence (totalling 150 observations from 1.4 -22 GHz). The observed flux densities follow lognormal distributions with means and standard deviations of ( log f ν , σ log fν ) = (−0.53, 0.19) and (−0.53, 0.30) at 4.9 and 8.4 GHz, respectively (where f ν is the flux density in units of mJy). As expected, the average radio spectrum is flat with a mean and standard deviation of ( α r , σ αr ) = (0.02, 0.65) where f ν ∝ ν αr . We find that radio flares that increase the flux density by factors of 2 -4 over timescales as short as <10 min are commonplace, and that long-term variations (over 10-4000 day timescales) are consistent with shot noise impulses that decay to stochastic variations on timescales 10 days (and perhaps as short as tens of minutes to several hours). We briefly compare the variability characteristics of V404 Cygni to jetted active galactic nuclei, and we conclude with recommendations on how to account for variability when placing quiescent black hole X-ray binary candidates with radio luminosities comparable to V404 Cygni (L R ≈ 10 28 erg s −1 ) onto the radio/X-ray luminosity plane.