Transmission Problem/Dif Problem

My transmission shifts strong, but it will not chirp the tires in second. I've tried, but when i'm getting on it in first, and pop it into second, i get a thump/clanging noise coming from under the car. I doubt its good. I've only got 2 months of stick shift driving under my belt, but i'd say that i'm a pretty good driver, and it could be me, but i dont know

well, i still dont know what the sound was, but i was driving around tonight, shifting at around 4000 at 1-2 2-3 gears, and the tires wouldnt "chirp" but i had a windows rolled down, and could hear the tires break from the pavement, sounded like sandpaper...anyways...i also heard that ding tonight too, but i heard it at a weird time, i stomped it in 2nd at around 1300 RPMS, and when did i heard a hollow ding sound come from the engine bay, sounded to the left, anyways...the car has 126,000 and may just be getting old