User blog comment:Deadpool(Earth 616)/No Spider-Sense in The Amazing Spider-Man?!!/@comment-4276072-20120730180219/@comment-4276072-20120804172420

agreed M(G)P. the spider sense does only work in a limited area (as shown in the comics and Raimi Spider-Man movies). the web works a lot like a normal spiders web it can pick up vibrations from around it and thats how the spider knows that something is caught in its web. Peter likely knew this and was using this to his advantage to try and locate at least a general location of the Lizard as any movement or sound Lizard made would have been picked up by the web and much like Bat Sonar I assume the less vibration he felt the farther away Lizard was so that he could locate him in the sewers. and also just because bugs dont like to get wet and if he had dropped into the water Lizard would have instantly known he was there.

yeah as you stated early in your post the Spider-Sense is mainly used to detect danger around him (such as it did in the Raimi movies when Flash was about to punch him at school or when the train was going to go off the tracks). basically if its something that will harm him (with the exception of Venom and Scorpion for that one point in time) the Spider-Sense picks it up. also things heading in his direction is more of a secondary thing but it was shown in the Amazing Spider-Man as well. when Peter and Gwen were talking and the Basketball came towards them Peter caught the ball without even looking which he obviously couldnt normally do if he didnt have spider-sense (much like the Raimi movies showed when Spider-Sense activates it seems like everything is in slo-mo for peter so that he can determine exactly what is going on and find the danger or object if you will before it gets to him).

in conclusion its partially science and partially spider-sense that would allow him to determine if it was Lizard in his web or just some random sewer rat. as the bigger the object is the more vibrations it would send through the web and since Lizard is a Human-Sized Reptilian creature and Rats are small Mammalian creatures the Lizard would make much more impact on the web as he is bigger and has much greater body mass. it would also work with the Spider-Sense in the sense that if Lizard somehow did escape from the web he would know that Peter was there and go after him.