Fawn carries the following meanings:
1. A young deer; especially, one under a year old: “It is always nice to see fawns in the forest.”
2. To be overly affectionate: “Indians are in the habit of fawning over their film stars.”
3. To seek favor by supporting slavishly every opinion and suggestion of a superior; to grovel, to be an apple polisher, etc.: “Some of the employees decided to fawn on their bosses in order to get promotions.”