In my experience with various chart recorders,
cleaning was done with
a soft cloth and nothing more--and no lube at all. The customary
silver bead contact would be replaced periodically, but that's the
extent of slidewire maintenance that I'm familiar with.
Wouldn't this slidewire be made of nichrome?
Maybe it is time to take it out, measure the resistance of the entire
wire and in some distances, and compare to the same awg nichrome wire?