Well-known personality undemanding about clothes (4)
I believe the answer is:
name
'well-known' is the definition.
(as in name brands)
'personality undemanding about clothes' is the wordplay.
'clothes' indicates the answer is hidden within the clue (the letters clothe the hidden word).
'about' is a reversal indicator.
'eman' is hidden within 'personality undemanding'.
'eman' back-to-front is 'NAME'.
(Other definitions for name that I've seen before include "By which a person is known" , "Handel, for example" , "Appoint - famous person" , "Famous person; identify" , "Specify; famous person" .)