Reverse reverbs were popularized in the 1980’s. This type of reverb can be heard on many rock snare drums from this time period. A Reverse reverb applies an envelope (slow attack, fast decay) to the early reflections. The main parameter that affects the sound of this reverb is time. Time can be adjusted for the buildup and cut off of the early reflections. This affects the sound as if it was being reversed in the reverberation, but in actuality it is simply an envelope effect.
This type of reverb has been heavily used on drums and percussion. It is also useful with vocals or any sound that needs an unnatural but interesting ambience. Try combining this reverb with another, longer reverb effect to create a complex moving ambience around the sound.