Neem once a week for four (I think) weeks eliminated the one and only thrips infestation I ever saw. Waiting two weeks between doses is too long and allows some of the little things to get through their life stages.
Spraying something like Orthene kills all the little predators that take care of most pest infestations outdoors, leading to more and more outbreaks by more and more things. It doesn't happen often, but when I see something is attacking a CP during the outdoor season, I move the CP into the densest growth of flowers or weeds I can find and leave it there a few days. Whatever was bothering it will be gone. The CPs lead a pretty isolated existence, sitting in trays of water, so sometimes I have to take the pests to the predators.