Our dogs like bully sticks also, but our preference it to give them Marrowbone. Marrowbone is healthy and less expensive than bully sticks. We have been very lucky that we still have places that butcher cows. Lately our local butcher has been cutting up Marrowbone and just giving it to us for our dogs. Last trip there they gave us 8 lbs. If you have a puppy who is teething, we have even seen 1/2 of a frozen bagel used.
We do not know if your dog is a puppy or not, but as ours were teething sometimes in their attempt to be affectionate or get us to play they would mouth us. We do not think they were intentionally attempting to bite or hurt us but they are in learning mode. So in reaction to this we would push our hands in their mouths and tell them no bite. This worked for us, but we have no idea of your situation.
If the are chewing on something inappropriate, sometimes we do what lvoss does and take away the item correct them and give them a chew toy or bone, or sometimes we will put tea tree oil on an item to discourage chewing on it. Of course you have to make sure your dog dislikes the smell of tea tree oil LOL. Another method is to use a squirt gun. Correct them first, give them a chance to stop, and then squirt them. We always use a verbal command first. When our dogs see the squirt gun, they both know that we are not happy with their behavior and they need to stop what they are doing.
A quick search of the web should give you several good articles and suggestions when it comes to dealing with chewing problem.
Our older Basenji sticks to his chew toys, and bones. Our 5 month female Basenji appears to be following his lead. We have magazines in our bathrooms and books and magazines on our coffee table. Both dogs leave them be, as well as cords and shoes. If we wear a long sleeve shirt they will try to groom us but of course this is not biting. We simply stop them and tell them no.
From our experience we know that feeding our dogs good quality dog food can make a difference in their behavior.
Last but least, a good exercise regiment consisting of taking your Basenji on a long walk with you ever day will really make a difference it their willingness to respond to you and their behavior. We are aware that there are owners who just put their dogs out in their fenced yard and let them run, but this is not the same as going for a walk with them. Walking with them is bonding time for both you and the dog. Its good for your health and good for their behavior.
