You should use the same service name you put in your config file. For example, if you have:

...
[pan]
accept=888
connect=localhost:444
..

Then you put pan: in your hosts.allow

Thanks, I figured that part out (as stated in my first message). I was just wondering why something like "nntps : LOCAL" or "nntps : localhost" doesn't work (I have [nntps] in stunnel.conf).

~Yousef