Soldier on horse of the greatest importance (9)
I believe the answer is:
paramount
'of the greatest importance' is the definition.
(I've seen this before)
'soldier on horse' is the wordplay.
'soldier' becomes 'para' (paratrooper).
'on horse' becomes 'mount' (mount is a kind of horse. I am not sure about the 'on' bit.).
'para'+'mount'='PARAMOUNT'
Can you help me to learn more?
(Other definitions for paramount that I've seen before include "Pre-eminent - movie maker" , "Of the greatest importance" , "Highest" , "Chief in importance, supreme" , "First" .)