Yes, but that isn't a TC!
Shopping for a TC is exactly the same as shopping for a TD in matters of overall condition. They use a very similar construction, share the same wood rot issues, similar engines, transmissions, etc.
One thing that will differ is the cost of certain parts. If a TC is missing a driving lamp, for example, you can expect to pay $400 for a replacement and that's if you can find one. If not, Moss sells replicas for $750! A matching set of gauges are $1500, or a mismatched set for $800-$1000. I'm sure you get the idea by now.
As for models, there were only two basic models made and they are essentially the same car. In the later years, the popularity of the TC in North America drove the M.G. factory to release an "EXU" model. This was the standard TC with a few changes. Bumpers were mounted front and rear. The 30 Lamp was replaced by a second map lamp. Turn indicators became standard and the switch was installed in place of the accessory sockets. There were a few other small differences like that. the EXU model is considered very collectible only because it is a rarity. Many prefer the non-EXU because they feel TCs look better without bumpers.
Otherwise look for the usual things... make sure the wood is in good condition. Minimal rust, no cracks in the sheet metal behind the doors, both doors operate properly, gearbox shifts smoothly, engine starts and runs well, etc.
And for the love of god make sure the engine isn't in the back! /bcforum/images/%%GRAEMLIN_URL%%/wink.gif
Not to detract from this fine forum, but if you post this question on the TABC list you will get dozens of replies from those far more knowledgeable than myself.