Old Right, for example, concerned with state (6)
I believe the answer is:
oregon
'state' is the definition.
(Oregon is an example)
'old right for example concerned' is the wordplay.
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'right for' becomes 'r' (I've seen this in other clues).
'example' becomes 'eg'.
'concerned' becomes 'on' (I've seen this in other clues).
'o'+'r'+'eg'+'on'='OREGON'
'with' is the link.
(Other definitions for oregon that I've seen before include "American Pacific state" , "State near Washington" , "Timber" , "W. coast US state" , "Salem's state" .)