Some peers are at this place, a dirty mess (10)
I believe the answer is:
hereditary
'some peers are' is the definition.
(as in hereditary peers)
'this place a dirty mess' is the wordplay.
'this place' becomes 'here' (I've seen this before).
'mess' is an anagram indicator.
'a'+'dirty'='adirty'
'adirty' is an anagram of 'ditary'.
'here'+'ditary'='HEREDITARY'
'at' is the link.
(Other definitions for hereditary that I've seen before include "Passed on by genetic factors" , "passed down through generations" , "Passed on by parents" , "From ancestors" , "Ancestral" .)