The current decade represented in tweets (8)
I believe the answer is:
twenties
'the current decade' is the definition.
'represented in tweets' is the wordplay.
'represented' indicates an anagram.
'in'+'tweets'='intweets'
'intweets' anagrammed gives 'TWENTIES'.
(Other definitions for twenties that I've seen before include "The decade was said to be roaring" , "ten years" , "They were roaring in the last century" , "First adult years" , "what lies ahead for 27 [TEENAGER]?" .)