Be at each other's throats and Have words

Have words and be at each other's throats are semantically related In some cases you can use "Have words" instead a verb phrase "Be at each other's throats".

Have words verb - Censure severely or angrily.

Be at each other's throats and have words are semantically related in argue topic. You can use "Be at each other's throats" instead a verb phrase "Have words", if it concerns topics such as quarrel.