Famine beginning to destabilise our planet (6)
I believe the answer is:
dearth
'famine' is the definition.
('dearth' can be a synonym of 'famine')
'beginning to destabilise our planet' is the wordplay.
'beginning to' says to take the initial letters.
'our planet' becomes 'earth' (I've seen this before).
The initial letter of 'destabilise' is 'd'.
'd'+'earth'='DEARTH'
(Other definitions for dearth that I've seen before include "Scarcity - famine" , "Scarcity, paucity" , "In short supply" , "want" , "Red hat for scarcity" .)