Strawberry Switchblade was formed in Scotland in 1981, and was comprised of Jill Bryson and Rose McDowall. Their image of big bright dresses and bows fit nicely with the synth pop sound ... as long as you didn't listen to the lyrics (or pay attention to the goth makeup). It turns out that the name was intentionally chosen, and the lyrics to their bright pop songs were often dark or disturbing. "Since Yesterday," for instance, was written about the aftermath of a nuclear war.
The group gained traction in 1983, and released their first single, "Trees and Flowers." This led to a recording contract and in late 1984, "Since Yesterday" was released. The song slowly rose on the UK charts, eventually reaching #5. Their self-titled debut LP followed in 1985, but they were not able to land another hit, and a combination of musical and personal disagreements led to a split by 1986.
I don't recall seeing the video on MTV, though it may have appeared on 120 Minutes. However, the Tim Pope video is visually arresting, and does a solid job of conveying the band to the public.