Neat. Does this really need an app? I think it may be able to do with the command line. Something like ffmpeg that performs video operations and something to detect a noise level treshold.
There are some command line tools to do this (see other comments), and I think they use ffmpeg under the hood.
They work, and I built a version of one myself as a proof of concept before I started this, but I quickly realized I wanted visual feedback and ability to preview the edits before exporting. Without that it’s a lot of guess-and-check.
With Recut I can tweak the padding value, hit play, see if it sounds right, and only export once.