Our pet Lulu also likes to pick up and chew on sticks as we walk her. She even picks up rocks sometimes too! Unfortunatly she was recently operated on because she had some carpeting and hair backed up and then again operated for an ulcer. She is only a year old now! So, at Petsmart they sell this little tie around velcroe and we put it around her mouth when we go on walks with her sometimes. But since her surgerys she hasn't tried picking up much stuff lately. So, It sounds cruel, but she got used to the velcro.

Check out Lulu's page www.dogster.com/?85406