"Can I get a trademark on my name even if there are other trademarks for that name but for other industries other than a clothing brand?"
You are free to use a name/mark to identify your goods/services in commerce, so long as your name/mark is not confusingly similar to another name/mark already being used in commerce. There are several factors used when determining whether one mark is confusingly similar to another mark. A search on "Lilkelihood of confusion" will help you understand that better.
A person/company could still create trademark rights in a name/mark, even if it is not registered with the Patent and Trademark Office. Usually, Registeration with the US PAt. and TM office gives stronger rights.
TESS just covers registered, pending, Intent-to-use, and abandoned or otherwise dead marks. If someone is using a mark but didn't go through the steps to register (or try to register) it, it could pose a problem. Further, just because you don't see your exact mark in TESS doesn't mean your mark isn't confusingly similar to another already being used in commerce (see likelihood of confusion). And, even if not the same field, if your mark was already being used in a related (but different) company, you could have a problem. If I attempted to start a company to sell "United" brand Luggage, I would probably hear from "United Airlines" to stop selling my luggage as my purchasers may think that my luggage is related or associated with United Airlines.