  Owing to its massive, dense core, Terzan 5 has the richest population of
millisecond pulsars known among Galactic globular clusters. Here we report new
deep $2-8\,$GHz radio continuum observations of Terzan\,5 obtained with the
Karl G. Jansky Very Large Array. We have identified a total of 24 sources
within the cluster half-light radius, including 17 within the core radius. 19
are associated with previously studied millisecond pulsars and X-ray binaries.
Three of the new radio sources have steep radio spectra and are located within
the cluster core, as expected for millisecond pulsars. These three sources have
hard X-ray photon indices ($\Gamma=1.3-1.5$) and highly variable X-ray
emission, suggesting they are binary millisecond pulsars belonging to the
spider class. For the most X-ray luminous of these sources, the redback spider
classification is confirmed by its X-ray light curve, which shows an orbital
period of 12.32 hr and double peaked structure around X-ray maximum. The likely
discovery of bright binary millisecond pulsars in a well-studied cluster like
Terzan 5 highlights how deep radio continuum imaging can complement pulsar
search and timing observations in finding probable eclipsing systems. The other
new radio source in the core has a flat radio spectrum and is X-ray faint ($L_X
\approx 2\times 10^{31}$ erg s$^{-1}$) with a photon index $\Gamma=2.1\pm0.5$,
consistent with the properties expected for a quiescent stellar-mass black hole
X-ray binary.
