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- Gollum raised himself and began pawing at Frodo, fawning at his knees.4.1 -- Book 4 Chapter 1 -- The Taming of Smeagol (95% in)
- He was more fawning and would-be friendly; but Sam surprised some strange looks in his eyes at times, especially towards Frodo; and he went back more and more into his old manner of speaking.4.2 -- Book 4 Chapter 2 -- The Passage of the Marshes (67% in)
There are no more uses of "fawn" in The Two Towers.
Typical Usage (best examples)