Measurements of photon-electron directional correlation in muonic atoms may provide useful information on the low-energy neutral-current effective interaction of charged leptons with light quarks, significantly complementing the information obtainable from other low-energy parity-violation experiments. We calculate the expectations for the correlation coefficients in conventional extended gauge models, such as to test for possible deviations with respect to the standard model. We discuss sources of uncertainty in the estimate of such deviations. The physical relevance of this analysis is exhibited in a number of graphs which illustrate how such experiments, at presumably attainable precision, would significantly improve the bounds on the effective lagrangian as obtained from other sets of data (including LEP).