A spill of Hoppe's #9 won't harm most stocks or stock finishes. The fiber-reinforced plastics used in gun stocks are proof against most readily available solvents including gasoline and lacquer thinner.
Hoppe's won't touch these plastics, so don't worry about a little spill.
Since CLP was intended to be used on modern weapons with plastic parts, it was formulated with chemicals that won't damage common gun plastics.
CLP is a good solvent FOR POWDER FOULING and general crud.
It ISN'T a copper or metal fouling solvent. For bullet metal fouling you still need to use a good solvent like Hoppe's that's specifically designed to remove metal fouling.
CLP was designed to be a general purpose Cleaner, Lubricant, and Preservative for military use. It was intended to act as a "self cleaner" material that would keep carbon fouling and crud from hardening, and would allow the action of the firearm to force the dirt away from critical working parts. Although it does work well as a carbon and dirt cleaner, the Cleaner part of the CLP name really refers to the "self-cleaning" function.
As a good "all-around" item for gun care it's hard to beat, and as a rust proofer and lube it's one of the very top products available.
As a lube, CLP is famous for being one of the best ever offered for firearms use. All new lubes that hit the market, always take pains to attempt to favorably compare themselves to CLP Breakfree, because of this excellent reputation.