I have been noticing some water coming from the gas water heater pressure relief pipe (outdoors). Started as a few drops occasionally, but now I'm noticing more water leaking. Do the T&P valves ever go bad? Coincidentally a friend gave me a brand new one that he bought, but never used. I think I might try switching the old valve out and see what happens.
T+P valves do go bad. There is a test lever that you should check to see if it makes water flow, and then water stops when you release the lever.
However dribbling out is most commonly because the thermal expansion tank is not working right, or you don't have one and need one. After a hot shower etc, if you stop using water, and the water pressure rises to 150 psi because of thermal expansion, the T&P valve is supposed to release water. Odds are, that's what is happening in your case.
A pressure gauge could let you see the pressure rise.
By the way, are you real? Less-skeptical people will think that is an odd question.