Abandons a slovenly slave out East! (6)
I believe the answer is:
leaves
'abandons' is the definition.
(I've seen this before)
'a slovenly slave out east' is the wordplay.
'a slovenly' is an anagram indicator.
'out' means one lot of letters goes inside another.
'east' becomes 'e' (abbreviation).
'slave' is an anagram of 'leavs'.
'leavs' placed around 'e' is 'LEAVES'.
(Other definitions for leaves that I've seen before include "Organs of photosynthesis" , "See 14" , "Foliage - goes away" , "Pulls out < sheets" , "Departs with book pages?" .)