When Does the Film "Clue" (1985) Take Place?
"Clue: The Movie" is a comedy crime film written by John Landis with Jonathan Lynn [adapting "Cluedo" (1943) by Anthony E. Pratt] that released December 13th, 1985. So when is "Clue" set?
It takes place in the year:
We know this because the various blackmail plots the characters are trapped in revolve around classic Cold War-era Red Scare plots and the American-Soviet Cold War lasted from March 12th, 1947 AD to December 26th, 1991 AD.

1954 AD
We know this because the various blackmail plots the characters are trapped in revolve around classic Cold War-era Red Scare plots and the American-Soviet Cold War lasted from March 12th, 1947 AD to December 26th, 1991 AD.
More specifically, film's earliest scene includes a place and time setting title card superimposed over the footage of Wadsworth arriving at the mansion. It merely says "New England 1954".