Origins of unusually rare green emerald egg (4)
I believe the answer is:
urge
'egg' is the definition.
(I've seen this before)
'origins of unusually rare green emerald' is the wordplay.
'origins of' suggests taking the first letters.
The first letters of 'unusually rare green emerald' is 'URGE'.
(Other definitions for urge that I've seen before include "Longing" , "Strong desire; impel" , "Encourage to proceed, drive onward" , "Try hard to persuade, advise earnestly" , "Induce; yearning" .)