Hamster (Bernard's)

Hint 1 of 5:

Living items can't be sent through the Chron-O-John, but there are ways
of preserving living critters so they can be woken up in the future.

Hint 2 of 5:

Have you ever heard of freezing people (or hamsters)?

Hint 3 of 5:

There's a way to freeze the hamster in Bernard's time.