head for the hills verb2 •To travel to a higher elevation, especially to a rural region on vacation.Modern campers look for comfort first when they head for the hills. — 2006 •To go to a safe place; to seek refuge; to flee.Goldman Sachs warned that we are ‘only at the start of a steep downturn’ and advised investors to head for the hills. — 2008 formsheaded for the hills · heading for the hills · heads for the hills