The lifetime of a black hole to evaporation by Hawking radiation scales as the cube of its mass. If sufficiently low-mass black holes are created then they can evaporate on a timescale shorter than the age of the universe. As they do so, their mass decreases and their evaporation timescale shortens - hence the rate at which they evaporate increases dramatically as they approach the ends of their lives.
The final few seconds of a $<5 \times 10^{14}$ g black hole could take place in the universe today. The observed signature of such an event is disputed and depends on the nitty gritty details of particle physics and the spin of the black hole. However, it is entirely possible that there will be a short burst of high energy gamma ray radiation (photons with energies $>1$ GeV) during the final 100 seconds or so of the black hole's life (e.g. Ukawatta et al. 2016).
The problem seems to be that for the luminosity to ramp up to something that might be detectable, you really need to be talking about the last $\sim 1$ second of the black hole's life, where the temperatures are so extreme that it isn't photons that are emitted, but massive particles that may subsequently fragment and decay producing gamma rays with a spectrum of energies. There is considerable uncertainty about what sort of particles are emitted by the black hole and what they decay into.
This is serious science that is being taken seriously. The paper above by Ukawatta et al. predicts that if nothing is detected by a search using gamma ray detectors like HAWC, that upper limits on the density of evaporating black holes of $\sim 10^{4}$ pc$^{-3}$/year could be placed.