Some of you guys clean your chains? weird...
I keep a couple on the floor of the essavator, covered in dirt, rain, mud, saw dust and whatever spittle from me swearing at stubborn stumps/trees/homeowners/dumbtruck jockeys etc...
They can get more then a little crusty, I'll knock most of the chunks off, put em on as best as possible, run the saw for a few seconds until links loosen up, retighten, continue cutting timber. NFG
Is it hard on the chain? Probably, But I've never worn a link out, and can count on one hand the chains i've broken (all from crazy hard pinches, or saws getting chucked by trees)
Is it hard on the bar? Probably, but I don't buy junk Oregon for a reason, took me 3 years to wear out a stihl bar, even then I put a new nose on it and ran if for another year, I think it got sold with one of my old saws?
As others have stated, keep it sharp, and they will be self cleaning.
Now if one is really gummy from sap, I might wire wheel the teeth before grinding in a vain effort to save on grinding wheel, and I'll wd-40 them if they are stiff before grinding, but thats really the extent of "care" I give them.