World famine beginning to be ignored (5)
I believe the answer is:
'world' is the definition.
'famine beginning to be ignored' is the wordplay.
'famine' becomes 'dearth' (a famine is a dearth of food).
'beginning to be ignored' means to remove the first letter.
'dearth' with its initial letter taken away is 'EARTH'.
(Other definitions for earth that I've seen before include "Soil; planet", "Fox's underground lair", "The 3rd planet from the sun", "Soil; electrical connection", "Human world".)