CHEERIOS....is the answer.
Chelsea is now almost 17 months old. She still digs, snatches, and runs with things in her mouth. I keep Cheerios in the candy dish on the coffee table, dish by the phone, dish by the bed, if she "catches" something, I holler "CHEERIOS", and she drops what she has in her mouth, and comes to me for the Cheerios. Sometimes I have to throw several in the opposite direction, so I may remove what she had in her mouth, from the floor.
We are now working on going to her crate, without the "chase", I tell her to KENNEL UP, and also put some Cheerios in with her, after she is inside of it.
ITS WORKING!!!
Good luck,
Hugs,
Chelsea'sMOM