Gobble down
'gobble down' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for inhale that I've seen before include "Draw air into lungs" , "Draw in air or smoke" , "Take smoke into the lungs" , "drag" , "Whiff" .)
(Other definitions for engorge that I've seen before include "Eat immodestly" , "Swell with blood, water, etc" , "Cause to swell with fluid" , "Get stuffed" , "Guzzle" .)