I know this is an old thread, but it's a useful one as it was all I could find on this issue when I had a similar problem.
I've had my homebrew seam-sealing go this way (greasy, slimy, oily, not drying) twice now.
In both cases, it just took two-three days to dry. Which is excessive and unusual compared to what it normally should take, but if you hang in there and wait, it'll still be functional. If you can't wait, maybe try a hairdryer.
When I first did home-made seam sealant, I followed Henry Shire's instructions for my Contrail, and the results were great.
Here is Henry Shire's video on the topic:
http://www.tarptent.com/ttvideos.html#seamseal
In this video, Shires uses Sunnyside paint thinner.
In both my last attempts, I used Klean Strip Odorless Mineral Spirits, and I believe this was the problem. It was about a year or two old. That may have been a contributing factor. I used two different silicones (the second time, brand new GE Silicone II).
The best advice I can give that I didn't take is: plan ahead and test your batch before putting it on your tent.
The next best advice I can give is: don't do this on a windy day! Don't ask me how I know this.

