Gleeful prince very quietly ousting bishop (5)
I believe the answer is:
happy
'gleeful' is the definition.
(I've seen this before)
'prince very quietly ousting bishop' is the wordplay.
I cannot really see how this works, but
'prince' could be 'p' (abbreviation) and 'p' is found in the answer.
'quietly' could be 'p' (p for piano and quiet) and 'p' is located in the answer.
The remaining letters 'hay' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for happy that I've seen before include "Carefree" , "Delighted" , "Fortunate, convenient" , "Doc's smiling pal" , "A not so low" .)