Abstract: This paper reports on the gamma-ray properties of the 2018 Galactic nova V392 Per, spanning photon energies similar to 0.1 GeV-100 TeV by combining observations from the Fermi Gamma-ray Space Telescope and the HAWC Observatory. As one of the most rapidly evolving gamma-ray signals yet observed for a nova, GeV gamma-rays with a power-law spectrum with an index Gamma = 2.0 +/- 0.1 were detected over 8 days following V392 Per's optical maximum. HAWC observations constrain the TeV gamma-ray signal during this time and also before and after. We observe no statistically significant evidence of TeV gamma-ray emission from V392 Per, but present flux limits. Tests disfavor the extension of the Fermi Large Area Telescope spectrum to energies above 5 TeV by 2 standard deviations (95%) or more. We fit V392 Per's GeV gamma-rays with hadronic acceleration models, incorporating optical observations, and compare the calculations with HAWC limits.