Propecia (finasteride) reduces DHT by around 65%, but it actually increases testosterone by roughly 15%. Andropause isn't a recognized medical condition by the WHO (it's usually a term used by more holistic oriented proprietors of medicine) but it's usually synonymous with the recognized condition hypogonadism, which indicates the decrease in the production of sex-specific hormones and usually happens at advanced age.
There are people that claim they experience many symptoms similar to those described by hypogonadism after stopping finasteride. As legitimate as the symptoms themselves may be, I have yet to see any evidence (other than anecdotal, posted on forums) that the drug causes irreversible hormonal changes. If this was actually happening, it would be quite easy to prove. In fact, there have been several large scale studies done on the drug that specifically checked blood hormone levels before and after taking the medication, and none have made mention of any irreversible differences.
I've been on the drug for 2 years, and started working out very regularly for the last few months. I was able to lose 20 pounds, and put on a significant amount of muscle. If you check the success stories, there are many other members that obtained impressive physiques while taking this medication. This simply would not be possible if hormone levels were so significant disrupted.