The news gets to me approaching the second green (7)
I believe the answer is:
message
'the news' is the definition.
(thesaurus)
'me approaching the second green' is the wordplay.
'approaching' means one lot of letters go next to another.
'the second' becomes 's' (common abbreviation).
'green' becomes 'sage' (shade of green).
'me'+'s'+'sage'='MESSAGE'
'gets to' acts as a link.
(Other definitions for message that I've seen before include "Errand" , "Verbal or written communication" , "Spoken or written communication" , "meaning" , "The medium is the - (McLuhan)" .)