I love it here, and you have picked a cool course, two of my mates do it and they get to do fun debates and stuff.
Lincoln is really sweet, not many good clubs (never go into Ritzys, I have been punched or kicked out everytime I go near the place) but plenty of bars which means you can basciallly base your week around the quids in offers. hurrah!
Lincoln is much nicer compared with sheffield but lacks any real night life or facilities other than the obvious(cinema/swimming pools etc).
It is filled with 'nutters' thou and your more likely to meet them in lincoln than sheffield, I just seem to meet foreigners in sheffield who give me evil looks.
It pretty student friendly thou and is pretty much a student city, it dies when the term finishes.