There is an answer on Biology.SE, indicating that lemon dawn can help control fleas but also should not be used on cats. What "adverse reactions" do Limonene and Linalool have on cats? How is this different from reactions on other species?
I found a case study to show that limonene can definitely be toxic, but I can't find any information on concentration/dosages (work seems to be pre-epubs), nor info on how much limonene/linalool are in lemon dawn.
Based on this information, I would avoid it just based on an abundance of caution, not because it's likely to be harmful.