Thanks for all your wonderful replies. It is all very helpful. I'm curious, how do you make them think it's their idea? She's pretty interested as long as I've got a yummy treat for her, but as soon as I start to try and phase it out she very quickly loses interest. I think I've just been doing it too fast. And it's nice to know that it is possible to have a reasonably well trained Basenji. I'll start taking her along to general obedience training soon. She has her final lot of puppy shots tomorrow.
I will definitely check out those books. Where does the distraction, duration and distance come from? I think I need to get my head around that a bit more. I feel under pressure a bit because all these books I have been reading say how it's so important to try and do all this stuff while they're puppies and before they reach adolesence when they get much more distracted. And adolesence is like 5 months isn't it?
The couch, well, I suppose I just don't want to have to get the couch cleaned all the time, although between having young children also (1.5 and 4.5) it's probably a lost cause. And they are a wonderfully clean dog. Part of my issue is the way she uses the couches as a highway (I have two single seaters and a three seater along the wall together). It's cute really, the way she tiptoes along the softer top cushins and then leaps more enthusiastically along the firmer bottom part. And then the trying to dig into the couch or bite it (grrr!). But I also have a bad habit of leaving books and magazines on the couch arms, which end up trampled. Anyway, today I have been reversing it a bit. I am allowing her on the couch, but only after she sits in front of me and I invite her. I do enjoy it when she lies not to me on the couch, just not running over the top of me. It's definitely got her thinking. She's pausing a bit longer when I tell her not to get on the couch. Was she on the couch as a puppy. Good question, I'll have to find out, but I suspect yes. That may be why she's been so determined.
Thanks for all your replies!