Fighting man with a sore lid (7)

I believe the answer is:

soldier

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

'fighting man' is the definition.
(thesaurus)

'a sore lid' is the wordplay.
'sore lid' can be anagrammed to 'SOLDIER'.
However, I am unsure how this is indicated.

'with' is the link.

Can you help me to learn more?

(Other definitions for soldier that I've seen before include "Member of a fighting force" , "Military man" , "Enlisted man or woman" , "One of man's 22 20 [SEVEN AGES]" , "Military person" .)

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