Hang on (someone's) every word phrase
The phrase can be rewritten as "hang on to someone's every word".
If a person "hangs on someone's every word", he/she pays full attention to someone's speech and listens intently to what one is saying.
His voice is so charming that all the audiences are hanging on his every word.
My family hung on the reporter's every word when she was delivering the facts about a dreadful accident in the highway.
Although I had already hung on the chef's every word, I couldn't remember his special recipe.
The verb "hang" should be conjugated according to its tense.
The phrasal verb "hang on" originated from the invention of cloth hangers in the 19th century in England. People started to use the phrasal verb "hang on" to mean "holding on tightly or not letting go" given the way they remained attached to whatever surface they are placed on. Soon, it made its way into everyday use.
If you swallow the bait, you take something that someone offers you, or agree to do something that someone asks you to do without knowing that it is a trick or way of getting something from you.
You can't just do whatever he wants you to do. Don't swallow the bait.