boast, brag, popular, well known, to flatter
詡 centers on speaking in a way that draws attention: boasting, bragging, or flattering to make oneself or someone else seem impressive. The sense of being popular or well known follows from that same idea of being talked about.
詡 combines 言 (speech) with 羽 (feathers), likely suggesting speech that spreads or rises like feathers, fitting the ideas of boasting and becoming widely known.
Words 言 that take flight like feathers 羽: imagine someone's boastful words spreading through the air like feathers, making them popular and well known.
For ク, picture a boastful person cooing like a pigeon: coo -> ク, and their flattering words fly out like feathers.