Yes, my last cat, Pumpkin, and I had a mutual washing ritual. I'd wash his face; I'd hold out the tip of my index finger and he'd lick it. I'd then stroke his face. We'd repeat this until he considered his face adequately washed.
Then he'd set in on my hand. He'd "wash" every inch of my hand, missing no spots. As far as he was concerned, I had washed his face, he'd return the favor by washing my hand. Of course, it was like having my hand sanded down with wet fine-grit sandpaper, but still.....
Then I'd tap my cheek and he'd give me one kiss there and then go off about his business.
That cat had the heart of a golden retriever.