Crossword Genius

Endless hope provided by fashionable pain reliever (7)

Ross

I believe the answer is:

aspirin

I'm a little stuck... Click here to teach me more about this clue!

'fashionable pain reliever' is the definition.
I know that 'pain' relates to this answer. I also know that both the answer and definition are singular nouns

'endless hope provided' is the wordplay.
'endless' means to remove the last letter.
'hope' becomes 'aspire' (I've seen this before).
'provided' becomes 'in' (I can't explain this - if you can you should give a lot more credence to this answer).
'aspire' with its final letter taken away is 'aspir'.
'aspir'+'in'='ASPIRIN'

'by' acts as a link.

Can you help me to learn more?

(Other definitions for aspirin that I've seen before include "Commonly used pain-killer" , "number" , "Mild pain-killing drug" , "Common painkiller" , "Sip rain (anag.)" .)

I've seen this clue in The Times.
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