  Compact binary coalescences are a promising source of gravitational waves for
second-generation interferometric gravitational-wave detectors such as advanced
LIGO and advanced Virgo. While most binaries are expected to possess circular
orbits, some may be eccentric, for example, if they are formed through
dynamical capture. Eccentric orbits can create difficulty for matched filtering
searches due to the challenges of creating effective template banks to detect
these signals. In previous work, we showed how seedless clustering can be used
to detect low-mass ($M_\text{total}\leq10M_\odot$) compact binary coalescences
for both spinning and eccentric systems, assuming a circular post-Newtonian
expansion. Here, we describe a parameterization that is designed to maximize
sensitivity to low-eccentricity ($0\leq\epsilon\leq0.6$) systems, derived from
the analytic equations. We show that this parameterization provides a robust
and computationally efficient method for detecting eccentric low-mass compact
binaries. Based on these results, we conclude that advanced detectors will have
a chance of detecting eccentric binaries if optimistic models prove true.
However, a null observation is unlikely to firmly rule out models of eccentric
binary populations.
