Tidying mess, showing self-respect (7)
I believe the answer is:
dignity
'self-respect' is the definition.
(I know that self-respect can be written as dignity)
'tidying mess' is the wordplay.
'mess' is an anagram indicator.
'tidying' with letters rearranged gives 'DIGNITY'.
'showing' is the link.
(Other definitions for dignity that I've seen before include "Sense of self-pride" , "Decorum, propriety" , "Nobleness" , "Tidying (anag.)" , "Calm and serious manner" .)