Chelyabinsk Regional Museum celebrated its 70th anniversary, on the 1st July 2015, with an open day and a fragment of the Chelyabinsk Meteorite available to touch. The main mass remained under its protective cover. Report (in Russian) here.
There's another report here suggesting a replica of Chelyabinsk was on display, along with the Annama Meteorite. It isn't what the report says, but I'm guessing the replica was the Annama meteorite, rather than the Chelyabinsk.