The most common use for the term "noisy Zener" would be defined thus:
When forward conducting, all silicon (any type of semi actually, but the
effect varies) junctions create "noise" - that is if you look at the signal
with a scope (AC coupled), you will see the output of the diode is not
totally clean and flat like the input might be but has a *very* small amount
of electrical noise super-imposed on the DC... this fuzz is random spikes
caused by the elctro-chemical bonding and splitting of electrons in the
silicon. Zeners are well documented for being noisy but it sometimes has a
real application... some types of particularly noisy zeners are manufactured
in small quantites purely as noise sources!
You can split it of by AC coupling through a small mylar capacitor, amplify
it and then flash sample it to give a true random number generator for your
PC... nice eh?
The noise from a zener when amplified and played throuh headphones is quite
nice sounding too - somehow different from the AF noise you get from a telly
between channels. Very relaxing.