Largo as far as I know...I don't recall any precautions except for onion. Dogs we're talking.
There was some broo ha ha about garlic, but I read the reports and we're talking major major overdoses of garlic. It wasn't definative in my book.
In fact, I was appalled anyone would go so far (giving mega overdoses)to prove something was wrong with garlic and use in animals.
But as far as just seasoning, normal uses not too heavy, I don't recall any warnings. Just warnings on onions which most of us are aware of. Rosemary, you have to watch if an animal or human has epilepsy or suffers from bad hypertension. IN this case, nope wouldn't use it.
I have a friend who uses tumeric all the time daily for her doggie friends. Tumeric is believed to assist with arthritis, sore joints, and such ailments.
Clove, cinnamon, allspice...just use normally. I mean my guys love snickerdoodles!! They don't get them everyday mind you, so the spices aren't actually used often enough to build up.
And of course avoid salts.
But I'm not an expert. This is based on my limited perception.
My little world I like to call it!
Spices are also herbs (using fresh when possible) and they do have a place in our diet. Not just for taste!!
If you have concerns with certain herbs, you can always do a search. Such as Rosemary Contraindications. Use the term contraindication. It will narrow it down some so more reputable information comes up.
Hopefully as more of us run into information on this, we can post and learn more.
Robin