Check out the recent ongoing thread on wax/paraffin. So far it's been great for dry conditions. Quiet, smooth, low maintenance after initial setup. I just wipe it down occasionally with a used napkin -- barely leaves a smudge.
And it's lasting longer than I'd expected. I got around 500 miles on a treatment and the chain really didn't need to be cleaned and retreated -- I just removed it out of curiosity to compare with a brand new identical chain.
I already had an unused Little Dipper crock pot that came with my big crock pot, so I already had what I needed. I just melted three or four bars of Gulf wax and dunked a fresh chain after using mineral spirits and isopropyl alcohol to remove as much factory lube as possible. I let the chain soak in the melted paraffin overnight to be sure it penetrates. That may be longer than needed, but it's working for me.
But there are other techniques, including adding PTFE, moly, liquid paraffin/lamp oil. And some folks are satisfied with the ready-made wax based lubes in solvents that evaporate cleanly.
One of my three bikes is still running a chain with Tri-Flow, which I also like. But when I replace that chain later this year I'm switching it to paraffin as well. My bikes are stored in the living room and I'd rather avoid the greasy chain marks on my legs, furniture and cats.
And the cassette/freewheel and chain rings stay clean too! Those are always a PITA to clean but no more. Just wipe 'em with a used napkin or whatever I have handy.