A yearning for hope initially (5)

I believe the answer is:
aitch
'hope initially' is the definition.
Although both the answer and definition are singular nouns, I cannot see how they can define each other.
'a yearning' is the wordplay.
'yearning' becomes 'itch' (I've seen this in another clue).
'a'+'itch'='AITCH'
'for' acts as a link.
Can you help me to learn more?
(Other definitions for aitch that I've seen before include "The letter h in full" , "Aspirated letter" , "bone" , "what some drop?" , "that I will immediately succeed" .)
