быть занятым (Wallace is caught up in his work and has little time for his son vogeler); быть вовлечённым (Wallace is caught up in his work and has little time for his son vogeler)

войти в курс дела (e.g., • here's what you need to know to get caught up; CNN Alex_Odeychuk)

зациклиться (на; о человеке Баян)

get caught up

: 18 Phrasen in 5 Thematiken