Radio continuum observations are a probe of star formation in galaxies and
are unaffected by dust extinction. Observations of the distant rich cluster
Cl 0939+4713 have detected radio galaxies classified as post-starburst (ka) on the basis of their optical spectra, and presumably this situation ari
ses from heavily dust-obscured star formation. We present the results of a
radio continuum survey of post-starburst galaxies identified by Zabludoff a
nd coworkers from the Las Campanas Redshift Survey. This sample was selecte
d using very stringent criteria and therefore provides an estimate on the i
ncidence of potential star formation in galaxies whose optical spectra exhi
bit the strongest post-starburst features. We detected two of 15 such galax
ies at radio luminosities consistent with moderate levels of star formation
. This result underscores the potential importance of dust extinction when
one investigates star formation in galaxies.