We present the discovery of an unusual set of flares in the nova-like variable V704 And. Using data from AAVSO, ASAS-SN, and ZTF for the nova-like variable V704 And, we discovered a trio of brightening events that occurred during the high state. These events elevate the optical brightness of the source from ∼13.5 to ∼12.5 mag. The events last for roughly a month, and exhibit the unusual shape of a slow rise and faster decay. Immediately after the third event, we obtained data from regular monitoring with Swift , although by this time the flares had ceased and the source returned to its pre-flare level of activity in the high state. The Swift observations confirm that during the high state, the source is detectable in the X-rays, and provide simultaneous UV and optical fluxes. As the source is already in the high state prior to the flares, and therefore the disc is expected to already be in the high-viscosity state, we conclude that the driver of the variations must be changes in the mass transfer rate from the companion star and we discuss mechanisms that could lead to such short-timescale mass-transfer variations.