Bug1 - I tried to rescue an injured insect to train it. However, insects could not be set as rescue targets.
Bug2 - I succeeded in taming insects. But the trainer did not stop training. I could only stop him by ordering him to stop training.
Thank you for the bug reports. I have successfully reproduced the issue with not being able to rescue downed insects. I was not able to reproduce the taming issue, however I was not able to reproduce the issue with forever training. If you encounter that again, please post a new report with a save attached. I will be writing a report to the devs about rescuing them however!