My boys don't usually lick while out of their cage. They are too busy running around inside my sweatshirt or hanging out in my hood. Sometimes they stick their heads inside my ear and sniff as loud as they possibly can.
They do, however, lick me when I stick my fingers in their cage (which I probably shouldn't do). Their cage is in my walkway, and I can't walk by without spending a minute greeting them, so I am sticking my fingers in their cage constantly. After a few licks, they like to nuzzle my fingers with their heads. It is SO precious.
While they are out, they usually just cruise around and enjoy themselves, though.
My Amazon parrot, on the other hand, likes to groom my ear while she sits on my shoulder. It makes me nervous due to the power of her beak, but it is cute. And I NEVER put my fingers in her cage! 8O