If your child’s teddy bear for example gets in contact with Silly Putty you will have to use some chemicals to clean it up. So do that away from the child.
Put the stuffed animal in the freezer for a few hours. After the Silly Putty has hardened, you can break it with a small hammer and genly remove the pieces that come off.
Sadly not all pieces will fall of that easily. For the rest you will have to scrape off with a knife. Don’t put too much force as you don’t want to damage the fur on the stuffed animal. Use a vacuum cleaner to clean up the smaller pieces and the ones that are deeper in the fur.
Take a can of WD-40 and spray the area where there is still putty left. Wait a couple of minutes and wipe the area with a clean cloth. If there is even more putty, respray the area and use cotton balls to dab the area.
Then soak a cotton ball in rubbing alcohol and blot the area. Wipe with another clean cloth.
Finally add a few drops of dish soap to a clean wet cloth and wipe the fur. Then use a sponge to wipe. Leave the toy to air dry away from the child.
When the stuffed animal is dried up, launder it just by itself in the washing machine and use a full cyle. Leave the toy to air dry once again. It should now be cleaned up from the Silly Putty. If you think there might be more WD-40 left on the fur, wash the toy once again.
As a last step, fluff the fur of the toy and present it back to your child all cleaned up.