The id from the get streams endpoint corresponds to the stream_id in the get videos endpoint. It’s a bit roundabout, but you can start by getting the current stream’s id from get streams, then use get videos for that user and find the video with a matching stream_id.
That video’s id can then be used to filter through the get clips response for clips from that video.
The main limitation here is that the actual video has to be available during this process.