The verb 앵겨대다 comes from "엉겨(엉기어)-대다", the word '앵겨대다' is a dialcet. And the verb 엉기다 means to cot, congeal or to stick/cliing to (something/someone) (무엇에 달라붙다)". and the verb 대다 means to do/act something continuously, again and again.
엉기다.
엉기어 대다.
엉겨대다. (standard)
앵겨대다. (dialect)