Synonyms for the expression "play the lickspittle" could include "act the sycophant," "grovel," "kowtow," "fawn," or "brown-nose." All of these words convey a similar meaning, wherein someone is behaving in an obsequious or servile manner in order to win favor or curry favor with someone else. These behaviors can be seen in many different contexts, both personal and professional, and can be frustrating to observe if you are the one being manipulated. However, it's important to recognize when others are using such tactics so that you can be on guard and protect your own interests and reputation.