There are many webmasters and website owners who are making FULL use of twitter without spamming (or better say smart spamming). It demands time as well as interaction. You need to interact with your followers and followings personally to create that genuineness. And they's start reading your tweets.
Else, they'd either ignore you as another URL spammer or on-purpose tweeter. Most of the people are under assumption that get 1000s of followers; start tweeting your every URL or article and all your followers would click you. LOL.. Funny.. They've other people too and they won't read each and everybody.
Devote some time, talk and tweet sensibly and twitter worths to some extent.