Japan and Russia have never signed a peace treaty marking the end of hostilities during the Second World War because of this dispute. So, no, I would say they are not "tired of it yet."
KiraYamatoFan did not include the latter paragraph from that story reporting that yesterday was also "Northern Territories Day" in Japan, an annual event when rallies are held demanding that Russia give the islands back.
Here's a piece from the BBC on the
2011 commemoration. That event included the burning of a Russian flag by demonstrators in Tokyo.