Well, it wouldn't hurt and should help "move things along".
To help calm your nerves, Ginger is my little yorkie vacuum. I used to panic EVERYTIME she swallowed something. Believe me we are very careful around here, but things happen. I keep a bottle of olive oil and a can of pumpkin around. But, honestly, if she swallowed a little piece of cello I don't think I'd even worry about it. Gosh, just last week we were visiting Grandmas and she got ahold of her earplugs

...no problems. I know you will worry, but try not to panic.
Anyway, a small peice of cello shouldn't create a problem.
For your own piece of mind,
call your vet. They should be able to give you an opinion over the phone. LOL, mine got more calls than I'd like to admit to in the beginning. And don't even get me started on the first time Fun Kitty ate a mouse!