Each reach, sadly, caused pain (7)

I believe the answer is:

earache

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'pain' is the definition.
(I know that earache is a type of ache)

'each reach sadly' is the wordplay.
'each' becomes 'ea' (abbreviation).
'sadly' is an anagram indicator.
'reach' is an anagram of 'rache'.
'ea'+'rache'='EARACHE'

'caused' is the link.
This may not be correct. It may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for earache that I've seen before include "minor complaint" , "Pain for listener" , "Otic pain" , "Lughole pain" , "stabbing in vestibule?" .)

I've seen this clue in The Daily Express.

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