The LIGO and Virgo observatories have opened a new window through which we may observe the universe. The dozens of events detected so far are consistent with quasi-circular binaries, whose orbital eccentricity has a negligible impact on the observed gravitational wave signal. However, over the past several years, numerous studies have showed that dense stellar environments can produce black hole binaries with large, close to unity, orbital eccentricity. The gravitational wave signal from such binaries resembles more a set of discrete bursts rather than the continuous chirping signal of their quasi-circular counterparts. I will here discuss the construction of new waveform templates to accurately describe the gravitational wave emission of highly eccentric binaries, and the prospects of using these waveforms for detection.