Speech interaction technology is becoming increasingly popular in practical voice-driven applications. However, due to the inferences caused by reverberation in real-world environments, the performances of speech interaction in the distant-talking condition are far from being satisfactory. Decades of efforts are devoted to solving the reverberation problem and spawning a vast variety of practical methods. Recently, the deep learning technique, which is developing rapidly and has greatly reshaped the speech processing community, also acquires remarkable performance in speech dereverberation. However, a systematic analysis and summary of the inherent relationship between the recent deep learning based methods and the previous classical methods is rarely seen. As such, we give a comprehensive overview of the current and past development of single channel speech dereverberation. Then, the main challenges are discussed. Finally, we share some views of its future development.