Read of an eccentric peer touring the States (6)
I believe the answer is:
peruse
'read' is the definition.
(I've seen this in another clue)
'an eccentric peer touring the states' is the wordplay.
'an eccentric' indicates anagramming the letters.
'touring' is an insertion indicator (touring can mean going round).
'the states' becomes 'US' (abbreviation for the United States).
'peer' is an anagram of 'pere'.
'pere' going around 'us' is 'PERUSE'.
'of' is the link.
(Other definitions for peruse that I've seen before include "Look over" , "Examine at length" , "Scan carefully for rupees" , "Browse, read casually" , "Run one's eye over" .)