At all times to a greater extent until the end of time (8)

I believe the answer is:

evermore

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'extent until the end of time' is the definition.
I can't judge whether this defines the answer.

'at all times to a greater' is the wordplay.
'at all times' becomes 'ever' (synonyms).
'to a greater' becomes 'more' (I've seen this in another clue).
'ever'+'more'='EVERMORE'

Can you help me to learn more?

(Other definitions for evermore that I've seen before include "Forever (literary)" , "For which, permanently" , "unceasingly" , "Eternally" , "Always, forever" .)

I've seen this clue in The Telegraph.

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