In the USA an oral contract is only binding up to some amount of money (something large, over a million IIRC), and I think this deal was bigger so it actually isn't legally binding. Not to say it's a good idea :-)
If I'm reading it correctly, many jurisdictions require contracts to be written when they exceed certain amounts of money. In the US that amount is $5000.
If I am reading that right: Because they used TC office space it is implied that a contract existed and Statute of frauds does not apply to that part.
You're thinking of the statute of frauds, and it kicks in at $5000. But there are exceptions.