Honestly.....I'd be very careful when using any kind of furniture/car waxes, rubbing oils, wood polishes on a briar pipe. These products are usually formulated with petroleum distillates that can outgas when the briar pipe is heated -from smoking- and can stink like kerosene, etc.
Ditto: handling a pipe after applying cologne/after-shave, and not thoroughly washing it off your hands. Perfumes will ghost a pipe for a very long time. I once bought a estate pipe that came with a stale, "old lady" scent. Even after sanding and deep cleaning, the scent oozed out whenever the briar was heated up while smoking. Eventually after many, many, annoying smoking sessions, the "old bag" smell left the wood. I came close to dumping that pipe right into the garbage.
Personally....I just use food-grade Walnut Oil, which can be found in better/gourmet food markets, health-food stores, on-line, etc. It's purified, and has little or no scent. You can use it when mixing salads, too. Carnuaba wax for stems and bowls works, too.
Leave the furniture polishes, Tung Oils, Danish Oils, etc...for your chairs and tables.