Re: Buying a Tenor Sax
First off, it is perfectly OK to post this question here. However, we need more information, for example you ask for shots that you can check out for a tenor, but you do not mention where you live. I assume it is in the UK, since you mention a budget of 1000 pounds, but what large city do you live near?
Your budget might be able to get you a professional grade used Buescher Aristocrat model tenor sax. I would try to stick to Bueschers with serial numbers between 280XXX and 380XXX to make sure you get one of the pre Selmer buyout versions of the tenor. Also, assume that after purchase, you make need an additonal 100 - 200 pounds for repair and setup.
Another good option is to get a used Yamaha YTS-23 tenor. Although this is an old Yamaha student grade horn, it is built very well, it is easy to get it serviced, and it holds its value well. This last point is important if you later want to trade it on a different horn. Many, many people consider this to be much better than the average student tenor. It would also make a much smaller dent on your budget.