I'll disagree with both water and thread chasing. A quality brake cleaner doesn't leave a residue, but tap water does. And if the threads need chasing, IMO you should just replace the fitting. It's too easy to damage the sealing surface with the tip of the tap.
Also, if your TR3 has front disc brakes, there will be a residual pressure valve screwed into the top of the 5-way, which IMO you should also disassemble (taking careful note of how it comes apart) and clean. Since I didn't like having the brakes drag, I left out the internals from mine when I put it back together.