Talks incessantly as my REM is playing (7)
I believe the answer is:
yammers
'talks incessantly' is the definition.
(to yammer is to talk foolishly or incessantly)
'as my rem is playing' is the wordplay.
'is playing' indicates an anagram.
'as'+'my'+'rem'='asmyrem'
'asmyrem' is an anagram of 'YAMMERS'.
(Other definitions for yammers that I've seen before include "Howls" , "Wails, whines" .)
I've seen this clue in The Times.
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