No REM movement penetrating the stupor of our time (6,3)
I believe the answer is:
common era
'our time' is the definition.
(I've seen this before)
'no rem movement penetrating the stupor' is the wordplay.
'movement' indicates anagramming the letters (letters move around).
'penetrating' means one lot of letters goes inside another.
'the stupor' becomes 'coma' (I've seen this in another clue).
'no'+'rem'='norem'
'norem' is an anagram of 'moner'.
'moner' put into 'coma' is 'COMMON ERA'.
'of' acts as a link.
(Other definitions for common era that I've seen before include "In Christian times" , "this time" , "these days" .)