Vagrant takes no notice after mile (5)
I believe the answer is:
nomad
'vagrant' is the definition.
(thesaurus)
'no notice after mile' is the wordplay.
'notice' becomes 'ad' (short for advert).
'after' says to put letters next to each other.
'mile' becomes 'm' (common abbreviation).
'ad' after 'm' is 'mad'.
'no'+'mad'='NOMAD'
'takes' is the link.
(Other definitions for nomad that I've seen before include "wandering type" , "is one unsettled?" , "Member of travelling people" , "Unsettled type" , "One travels from place to place with no permanent home" .)