They retained a 'head-hunting' firm to fill the position of chief executive officer.
We 'went hunting' for bear. = We 'went' bear-'hunting'.
The law prohibits the 'hunting' of migratory birds.
(..) Hello, Uncle Rhett. Hello, hello, Beau. Daddy, Daddy! Where have you been? I've been waiting for you all morning. Well, I've been hunting for a rabbit skin to wrap my little Bonnie in. Give your best sweetheart a kiss. I'm going to take you on a long trip to fairyland! Where? Where? (..)1939 Gone with the Wind