The trick to using oil is to wipe off the excess. Before cleaning and oiling put the chain on the biggest cog in the back and the big chainring. Clean and lube the chain and turn the cranks for 30 seconds. Wipe off the chain really, really good. Don't worry about over-wiping, not possible. Turn the cranks 30 seconds. Wipe the big chain ring, wipe the biggest cog on the back. Repeat last two steps once again.

I use bathroom wipes for the wiping.