  We find that a quantum device having an accessory involving precision
measurement can have an enhancement of its metrological precision in estimating
an unknown parameter of the quantum system by insertion of glassy disorder,
accidental or engineered. We clearly mention how an unbiased estimator can also
be identified in a disordered situation, and how the precision thereof can be
bounded by the quantum Cr{\'a}mer-Rao inequality. We compare the Fisher
information-based lower bound of the minimum standard deviation of an unbiased
estimator, in presence of glassy disorder in the system, with the same of an
ideal, viz. disorder-free, situation. The phenomenon can boost the efficiency
of certain measuring devices, such as atomic clocks. The precision of these
clocks, when measuring time, hinges on the precise determination of the
frequency of a two-level atom. In cases where impurities are present in the
atom, and can be modeled as a disorder parameter, it is possible for the
measurement of frequency to be more accurate than in an ideal, disorder-free
scenario. Moreover, disorder insertion can reduce the requirement of
entanglement content of the initial probes, which are copies of two-qubit
states, along with providing a disorder-induced enhancement.
