Due to excessive use of noise reduction, I can hear audio clipping (in headphones).
Is there a way to repair the audio after the noise reduction has been applied, so that it doesn't clip? Here's a recording.
Firstly, I agree with ABragg that it's not clipped. I downloaded and zoomed in graphically and didn't see clipped waveforms.
But, to answer your question (which may attract other readers):
Clipping is by definition the loss of information. It looks like someone has chopped off the waveforms at a certain level.
In general, you can't get back what was lost. In theory, however, you can reconstitute it plausibly (meaning that it will sound passable) by guessing at the lost info. This can be from a detailed analysis of past waves when the volume was lower, or simply by a bit of rounding guesswork based on local sampling data.
This sort of thing is easier to do when you have a variety of dynamics with a similar waveform -- for example, a piano has fairly similar timbre at levels beneath what is clipped, as opposed to an organ with no reverb.
I might as well also throw in a link to the FBI's investigation into this, in 2010, for any who are interested.
I would not be too surprised to learn, now or in the near future, that someone has come up with a means of applying a pretty effective AI algorithm which learns a general range of waveforms and uses this to fill in clipped waveforms, even from a variety of sources such as within an orchestra. This sort of thing has been done with some success in graphics.