The museum is very nice. There three sections concerning archeology of Karakalpakstan, applied arts and fine arts. All the sections are worth to be visited but surely the museum is known for the fine art section. There are some beautiful works from Uzbek and Russian Artists. The main attractiveness of the museum is surely related with its history and establishment and it is surely worth to visit and celebrate Igor Savinsky's vision.
In my opinion, it is not worth to visit Nukus only for the museum. Karakalpakstan is a very interesting cultural/environmental place and Savinsky museum is a optimal visit to do in a more complex itinerary.