I recently acquired an Ikon Shavecraft 102 and a PAA pinky throttle handle in aluminum. Well, I noticed the threads we're a little rough. I've read mineral oil was a good choice but beeswax works great as well. So if you ever have a rough connection between a head and handle try it out. It is isn't oilly and a little block should last a long time.
A three piece can be lubricated with paraffin wax as well. (standard candle wax, or you can get straight paraffin at the grocery store or hobby store) I've just always used light sewing machine oil or mineral oil, but mostly I only lube the TTO's.
Bees wax has a melting point of around 145 °F. Should withstand most typical faucet water if you don't go into scalding range above 125°.
I use a Discount Drug Mart clone of Burt's Bee or other lip balms for this, among other lube needs. Always have some on-hand. At 99 cents for 2 tubes, works great.