Fortieth head of government to come out of public school (4)
I believe the answer is:
ruby
'fortieth' is the definition.
(a ruby anniversary marks 40 years)
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for ruby that I've seen before include "Fortieth anniversary stone" , "A red jewel" , "Gemstone comprising mainly aluminium oxide" , "Girl's name - colour" , "Stony girl" .)