The word for today is…
fawn (verb) – 1. To exhibit affection or attempt to please, as a dog does by wagging its tail, whining, or cringing.
2. To seek favor or attention by flattery and obsequious behavior.
Source : The Free Dictionary
Etymology : Some people will be glad to learn the origins of fawn—and there’s a hint about the word’s etymology in that declaration. Middle English speakers adapted an Old English word meaning “to rejoice” to create the verb faunen, which shifted in spelling over time to become fawn. That Old English word, in turn, derives from fagan, meaning “glad.” Fagan is also an ancestor of the English adjective fain, whose earliest (now obsolete) meaning is “happy” or “pleased.” This fawn is not, however, related to the noun fawn, referring to a young deer. For that we can thank the Latin noun fetus, meaning “offspring.”