Precision is not limited by the second law of thermodynamics

Thermal fluctuations constrain the precision of non-equilibrium devices, particularly at quantum scales where reducing uncertainty requires entropy dissipation. Clocks exemplify this trade-off, typically showing a linear relation between precision and dissipation. We theoretically identify a quantum many-body system where clock precision scales exponentially with entropy dissipation, surpassing known bounds. This finding shows that coherent quantum dynamics can break conventional limits, enabling ultra-precise, low-dissipation quantum technologies.