Well here's how klonopin is metabolized:
"Clonazepam is metabolised via nitroreduction (CYP3A4), and has an elimination half life of 19-60 hours, {Riss, J.; Cloyd, J.; Gates, J.; Collins, S. ( Aug 2008 ). "Benzodiazepines in epilepsy: pharmacology and pharmacokinetics}"
So if your alcohol abuse has left you with raised levels of CYP3A4 in your liver then it would appear that the half life of klonopin would go down.
I can not personally comment on whether or not alcohol abuse can raise or lower the levels of CYP3A4 in the liver.
Someone with better knowledge of Pharmacokinetics could probably chime in with better info. I'm not 100% sure that elevated levels of CYP3A4 will increase metabolism; I am fairly sure the opposite is true, that inhibition of CYP3A4 will increase half life (ie. using grapefruit juice as a potentiator for some benzos).
There are CYP3A4 enzymes found in other places than your liver. So it is possible that clonazepam is partially metabolized outside of the liver via the same method of nitroreduction via CYP3A4 such as in your GI track. If this were the case then it possible liver damage from alcohol may not effect the metabolism of clonazepam as strongly if at all. But this is speculation.
CYP3A4 is the enzyme responsible for metabolism of most (if not all) triazolo-benzodiazepines and nitro-benzodiazepines (xanax, klonopin, halcion etc.) but not for others like Temazepam