Since oily residues are only wash difficult, I can save myself prefer the washing, which is quite possible, and replaced the old cleaning cloth with a new one. Despite the price this is quite justified, given the cleaning performance of a new cloth. The life in such a described by me use is in frequent use and medium dirt strength 6-8 weeks.
Only the fiddly curl of cloth around it in the but to stuff about small bag again is quite annoying. Especially if you're just out there and only once would like to briefly wipe over a camera lens.