  We discuss the nature of a discrete, compact radio source (NGC 4725 B)
located $\approx$1.9 kpc from the nucleus in the nearby star-forming galaxy NGC
4725, which we believe to be a new detection of extragalactic Anomalous
Microwave Emission (AME). Based on detections at 3, 15, 22, 33, and 44 GHz, NGC
4725 B is a $\mu$Jy radio source peaking at $\approx$33 GHz. While the source
is not identified in $BVRI$ photometry, we detect counterparts in the
mid-infrared $Spitzer$/IRAC bands (3.6, 4.5, 5.8, 8.0 $\mu$m) that appear to be
associated with dust emission in the central region of NGC 4725. Consequently,
we conclude that NGC 4725 B is a new detection of AME, and very similar to a
recent detection of AME in an outer-disk star-forming region in NGC 6946. We
find that models of electric dipole emission from rapidly rotating ultra-small
grains are able to reproduce the radio spectrum for reasonable interstellar
medium conditions. Given the lack of an optical counterpart and the shape of
the radio spectrum, NGC 4725 B appears consistent with a nascent star-forming
region in which young ($\lesssim 3$ Myr) massive stars are still highly
enshrouded by their natal cocoons of gas and dust with insufficient supernovae
occurring to produce a measurable amount of synchrotron emission.
