Remove the fuel inlet line to the carb and plug. Start engine up and run until the gas is out of the carb (engine will die). Re-install fuel line to carb (making sure it is clean) and crank over until it re-starts.
The intent of this excersize is to remove the small amount of debris that may be stuck between the needle and seat. From what I read, this drip developed right after you took off the fuel line and hooked it back up. This would indicate that the crap/debris was most likely introduced by you.
So remove it again but plug and run out of fuel. The incoming rush of fuel into the bowl(s) will most likely flush out the debris from the needle and seat, and it will be working properly.
Worth a try...it costs nothing and can be very sucessful and time/money saving.