Well there seems there's some kind of sociological trend in which whatever the current decade is there is nostalgia for the decade that preceded it 2 decades earlier. At least that's how it seems in pop culture.
There was a lot of nostalgia for '80s things in the 2000's and for '90s things in the 2010's. Why a two-decade span is picked is beyond me.
However I recall there was some nostalgia for '50s things in the '80s and you could see this represented in '80s culture:
The shows Happy Days
and Laverne and Shirley
took place in the '50s.
The first Back to the Future
movie took place in the '50s.
cartoon which was part of Saturday Supercade
was set in a 1950's-type world.
Singer Bowser was part of Sha Na Na which was a retro 1950's-style doowop band.
There are probably other examples of 1950's nostalgia from the '80s but I don't know of any off-hand.