Reputation for enjoying poor health? (3,4)
I believe the answer is:
ill fame
'reputation' is the definition.
(ill fame is a kind of reputation)
'enjoying poor health?' is the wordplay.
I cannot quite understand how this works, but
'poor' could be 'ill' (I've seen this in another clue) and 'ill' is located in the answer.
The remaining letters 'fame' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).
'for' is the link.
Can you help me to learn more?
(Other definitions for ill fame that I've seen before include "bad reputation" , "Disrepute" , "celebrity of sorts" , "A house of . . . . . . . is a brothel" , "notoriety" .)