Tempo SC Ultra is considered a general use insecticide and is labeled for outside and inside use. It is odorless, and very safe to use around children or pets. The general rule is that while spraying you keep children or pets in another room or outside to play. After about one hour it should be dry and it is perfectly safe to allow kids and/or pets back in the room. This product is only strong enough to kill tiny insects, and would have no effect on animals when used correctly.
Yes, Tempo SC Ultra is labeled to kill spiders.