Success Story: Chip-Scale Atomic Clock (2020)

The CSAC is specified for operation at < 120 mW (< 140 mW at warmup) so one could in principle build a novelty watch with it. However, a standard quartz movement with daily sync to GPS would outperform it at a thousand times lower power consumption.

Keeping it charged and synchronized would have to be part of the art project / status symbol. It would only take one rich person with a genuine interest in timekeeping technology to make this happen. Their servants could bring them a steady stream of batteries... or carry a power cord behind them like a wedding gown.