Ooh yes, I've used that trick for fresh deodorant marks on my own clothes - its very effective for that. You need fine knit nylon hosiery - basically normal tights (pantyhose) or stockings. The fine knit somehow works to get into the fibres of the fabric to lift the stuff off.
I've never tried it on old stains, but it's great for when you realise you've white deo marks on a black t-shirt you've just put on. Certainly no harm in trying.
We don't have a cleaning resource yet, but I believe one is under discussion.