What I've had to do is this:
1) Set the Now-Time marker to where the clip starts.
2) Highlight the clip.3) Keeping it in the same Take Lane, click/drag (move) it to the right or left so that it completely clears the clip it overlaps (even though that overlapped clip is in a different Take Lane).
4) Drop the clip you're moving to let it fall in the new location on the same Take Lane it was on before you started moving it.
5) Now, click/drag it to the Lane you want it. Drop it there.
6) Next, click/drag the clip to the Now-Time and drop it.
It's a weird workaround, but I've had to do this numerous times, because of issues Take Lanes seem to have.