The listing for limitation is always there. That just means that CC is tied to Domestication and can not level past it. If you want to level CC you need to level pets that are under your control, or buy the Advanced CC book and read it. That will level your CC as well.
Your advice on levelling CC is absoutely correct, no issue with that. However, I think the "Limitation" is a bit more complex (and possibly broken) because ...
1/ It says Domestication is limiting the skill to a lower level than it could be, which is wrong
2/ I tried this on another skill and removing 1 level removed the limitation message, so it does seem that the message is triggering incorrectly when the child skill reaches the limit of what can be trained by the book you have just finished reading
3/ I thought that training a child skill automatically raised the parent skill (for example, I only ever trained Domestication to 20, it went up when I trained taming). If that's the case, in what sense is the parent skill limiting anything?