I believe Tareytons existed in the 80s....I aint sure.
I do know there was a Cambridge cig brand in the 80s-90s era. And the Cambridge pack looked a lot similar to a Tareyton pack.
"Us Tareyton smokers would rather fight tan switch!" I do remember reading this slogan when I saw Tareyton ads in mags during my earlier life.
These 3 ads are all from the 60s.