Great-aunt perhaps showing delight after run (8)
I believe the answer is:
relation
'great-aunt perhaps' is the definition.
(great-aunt is a kind of relation)
'delight after run' is the wordplay.
I cannot quite understand how this works, but
'delight' could be 'elation' (I've seen this before) and 'elation' is found in the answer.
'run' could be 'r' (cricket abbreviation) and 'r' is found in the answer.
No letters remain.
This may be the basis of clue (or it may be nonsense).
'showing' acts as a link.
Can you help me to learn more?
(Other definitions for relation that I've seen before include "Story-telling - member of the family" , "Link" , "Auntie?" , "Story; member of family" , "Person related by blood or marriage" .)