One problem with tenkara is that you cannot release line to minimize line tension. So if you hook a big fish, the collapsing sections of the rod can get tugged on until the line breaks or you land the fish. If you point the rod at a bug fish and tug, the straight pull on the sections can cause the sections to lock into one another. With a tenkara rod, pulling the sections apart makes them tighter and not looser as with a normal fly rod.
Tom Rosenbauer mentioned this in one of his podcasts. I talked to one fellow who fishes tenkara at the TU Icebreaker, and this has happened to him. He broke his rod tip trying to his rod to shorten.
So don't allow the rod to point at a fish or a snag.
If you do get a stuck section here is a method that is used to unstick it.