Locally recording media based on a disconnection from a multi-participant communication

A disconnection of a client device is disconnected during a multi-participant communication, such as a call or a conference. An indication of the disconnection is transmitted to the client device to cause an agent at the client device to record media locally at the client device. The media recorded by the agent at the client device based on the indication of the disconnection is later received and included within a recording of the communication. For example, a gap of the recording in which the disconnection occurred may be identified, such as by performing a comparison of media within the recording to identify a start time of the gap and an end time of the gap. The media is then inserted within a portion of the recording of the multi-participant communication corresponding to the gap.