Crossword Genius

Medium interest in following sentence? (9)

Ross

I believe the answer is:

afterlife

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'medium interest in following sentence?' is the definition.
The answer and definition can be both related to time as well as being singular nouns.
Perhaps they are linked in a way I don't understand?

'following sentence?' is the wordplay.
'following' becomes 'after' (following can mean after or as a result of).
'sentence?' becomes 'life' (life sentence in prison).
'after'+'life'='AFTERLIFE'

Can you help me to learn more?

(Other definitions for afterlife that I've seen before include "Hoped-for future" , "Existence beyond the grave" , "paradise" , "Post-death existence" , "Existence beyond death" .)

I've seen this clue in The Times.
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