Random clipping would be from over-levels, no ? This isn't too unusual on live recordings.
Position at stage mic changes, soundman goes up, compressors go down, whatever.
Set the levels a bit lower, unless the devices are auto-leveling for you.
Static is another ball of cheese. Cables, radios (RFI), room noises (air handlers/air conditioners), power glitches, etc.
Also, with HD recording, there's always the HD to consider, which might mean a format or whatever is done on your device.
With optical in the chain, there's even another layer to consider. Clean connectors (with compressed air), check integrity, etc.
I guess the question is how random ?
+T for wanting to make better recordings !