kerosene and rag works best for cleaning. WD40 does about the same.
I like Chain Wax for lube. It's real clean & doesnt fling off. I havent had so much luck with some of the more "serious" stuff with moly & lithium. Those lubes seem to attract dirt and that cause greater wear. The real protection is from the O rings. ChainWax seem much cleaner.
I know, this is fighting words.
Check the chain for slack. Always adjust from the loosest (most slack) part of the chain when you rotate it. Careful never to over tighten. If you have too much of a tight spot that you can't adjust to loose spot, the chain is done. If you run out of adjustments, the chain is done as well.
We can also get into fighting words about the best replacement chain & sprockets (I like EK chains and new sprockets every other replacement). The Suzuki chain was pretty much junk for me, it didnt last 7500 miles. We've seen stock chains go out at 5000 miles and some go for 15000. I've had EK chain go from 10,000 (shot) to 18,000 (with plenty left).
Maybe it's me, but chains can be a real crap shoot.