Robert,
Remove the inner cable by pulling it straight out. Then remove the cable from the trans. adapter. Flush the inside of the cable with Brakleen from the top down into a clean container. IF possible blow it out with air & repeat a couple times. This should clean out the inside of the cable. Now screw/hook it back to the trans. adapter. While you have the cable dis-connected now would be the time to remove the speedo adapter, even if it's not leaking as you know it will start almost immediately after doing the cable. A 7/16ths. bolt & clamp, & replace the outside o-ring, apply a finger swipe of RTV around the outer portion of the o-ring to help it slide into place easier which will help seal the OD of the seal. The inner seal, which some will have a snap ring to hold the seal in place. Normally you can get two seals in there to just about prevent any future leakage. It may be overkill but it's just the way i've done it for years & normally the snap ring can be re-installed. IF not no biggy as the seal can't go anywhere. Just about ANY trans. shop should have these. Just take the speedo adapter with you.
Now take the inner cable & while hanging with your thumb & fore finger spray it with Brakleen & repeat 1 or 2 times & wipe it down with a clean rag. Now wrap the cable loosely around your hand & lube. DO NOT LET THE CABLE TOUCH ANYTHING AS IT MAY CONTAMINATE THE CABLE. I VERY MUCH LIKE Kendall Super Blue grease. It's not thick like wheel bearing grease or thin as lubriplate or white lithium grease. It should last FOREVER. I use this on EVERYTHING that requires grease or pre-lubrication. IF you packed your wheel bearings with this grease 5 years from now it will be the same as when you 1st. packed the bearings. Now while applying grease to the 1st. 6" of cable unwrap it from your hand while feeding the inner cable into the the outer sheath & apply more grease with your fingers until the lower 3/4 of the cable is lubed. When you get to the end you will need to twist the cable to seat it into the speedo gear.
This should never have to be done again.
Tom T.