To answer BravoD's question below, the supercap on my Fluke189 looks very much like the one in mikeselectricstuff's 287 picture below.
The original Panasonic supercap (P/N EECEN0F204AK) is still available in the USA and Canada from Digikey, Allied and others but with a min buy qty of 2,000pcs. May as well buy a new DMM... However I did a datasheet comparison and ELNA P/N DSK-3R3H204T614-H2L (corresponding to Digikey 604-1147-1-ND at $2.81ea, no min qty) as suggested by tsmith35 below looks like a good candidate for replacement. I will probably go with that one.