Throw in kick ball

[Jurassic Referee]

Sorry, but none of that flies.

The official is supposed to start the clock under 5-9-4. If he fails to do so, the timer is authorized to start the clock under 5-9-1. If the timer does start the clock under 5-9-1, and also stops the clock as per 5-8-1(c), then there is nowayinhell there is a timing mistake. And if there isn't a timing mistake, you can't use 5-10.

You also can't guess as to how much time to put back on the clock if the timer had made a mistake.

Again, if you can find anything anywhere that will refute the RULES that I've cited, feel free to post them.