I've had a tony miller latigo for a while that I use every day. great strop. over a year or two, gunk accumulated on the top 1 cm of the edge I run the point down. Could never figure out exactly what it was or why it only accumulated on one edge of the strop. But it started to affect the evenness of the draw. Last night i cleaned it off the whoe strop with a little saddle soap, and that seems to have worked. However, the leather is now pretty dry, so when I stropped last night it made a scratechy sound the draw wasn't as good usual.

Do I just need to rub my hands on it for a few weeks, or should I rub it down with some oil to get some moisture back into it? And which oil? neats foot? mineral?