Near the end of the first episode of Terminator: The Sarah Connor Chronicles season 1, "Pilot," John Connor, Sarah Connor and Cameron are in the vault of a bank, assembling a time machine to go to future, and have the following conversation (as per the Terminator Wiki):
John: So you just have like a account here?
Cameron: Safety deposit box.
Sarah: When did you open that?
Cameron: 1963. (walks by an engraving that says, "THIS STONE WAS SET 1963 THIS DAY MARCH 7")
John: Is that from the future?
Cameron: Can't bring anything through when you come. Not weapons, not clothing. Nothing. You send someone back to build it.
As per Cameron’s last sentence, when anyone time travels, they cannot bring anything with them.
But in the last episode of season 2, "Born to Run," Cameron came to Catherine Weaver's building looking for John Henry. When she found him, he asked her:
"Will you join us?"
Cameron then pulled a knife out of her pocket, removed her chip, and gave it to John Henry, who traveled to the future with it (most of this occurred off-screen, but was relayed through subsequent dialogue).
So my question is: if they cannot bring anything with them when time travelling, how did John Henry bring Cameron's chip? Did he use his chip port to take Cameron’s chip to the future?