With little to spare concealing morning's dearth (6)
I believe the answer is:
famine
'dearth' is the definition.
('famine' can be a synonym of 'dearth')
'with little to spare concealing morning's' is the wordplay.
'with little to spare' becomes 'fine' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'concealing' means one lot of letters goes inside another.
'morning' becomes 'am'.
'fine' placed around 'am' is 'FAMINE'.
Can you help me to learn more?
(Other definitions for famine that I've seen before include "Hunger" , "Extreme dearth of food" , "Widespread scarcity of food" , "Severe and widespread shortage of food" , "Severe shortage of food for many" .)