I tried CLP on all my revolvers and pistols for a first time a month ago. I would say it is impossible to remove it all by wiping it off so I just wiped down all the parts very thoroughly. Zero issues with too much lubrication. Very far from being close to dripping.
I already learned the bad side of over oiling. It was a Marlin levergun. On the next action disassembly the parts were gummed up and sticky. Just enough and not a drop more is the way to go.