"To trap HeLa cells in S phase, inhibitors of DNA synthesis including thymidine, aphidicolin, and hydroxyurea are frequently used. High concentration of thymidine interrupts the deoxynu- cleotide metabolism pathway, thereby halting DNA replication. As treatment with thymidine arrests cells throughout S phase, a double thymidine block procedure (which involves releasing cells from a first thymidine block before trapping them with a second thymidine block) is generally used to induce a more synchronized early S phase blockade."
The paper sent by Guillaume is extremely good and succinctly describes the various methods for producing cell cycle arrest.
Was your question related to the methodology? Or did you want to know "Why should Thymidine produce S-Phase block and arrest since it is needed for DNA synthesis?'
Yes. This can be called competitive inhibition. Increase the pool of compound A (damager) so that it blocks the binding sites of compound B which is necessary for proper metabolism. Just like giving Methotrexate so that cells cant utilize Folic acid.