You should be taking the secondary off at least annually anyway. It takes a 1/2" wrench to back the bolt out, then there will be a stack of washers and most likely a big spacer in there. Keep track of them and the 1/4" key. Behind the clutch on the shaft there will likely be a couple washer/spacers. Make sure they are there when you reinstall the clutch.
Once off, there should be a grease zerk on the jackshaft bearing that needs grease, as well as a zerk for the speedo housing. If the speedo hasn't worked in a while, I would be suspicious that the drive shaft bearing is going out (if it hasn't already) and taken out the speedo drive shaft. That bearing is relatively cheap and not too hard to change. I would suggest replacing it at this time, as well as the speedo key.
You will want a very light coating of grease or antisieze on the jackshaft before sliding the secondary clutch back on. Basically grease it up with your fingers, then use a paper towel and wipe it off. It will still leave a film that your secondary will self-adjust on and hopefully keep the shaft from rusting before the next time you take if off.
If you are real adventuresome (but hopefully know someone that can help or has tools) you can take the secondary apart and clean it and check the wear points.