truckling

(noun) the act of obeying meanly (especially obeying in a humble manner or for unworthy reasons).

(verb) yield to out of weakness. Synonyms: truckle.

(verb) try to gain favor by cringing or flattering. Synonyms: fawn, toady, truckle, bootlick, kowtow, kotow, suck up. Example: "He is always kowtowing to his boss."