Singer from Blur's inside repeatedly (4)
I believe the answer is:
lulu
'singer' is the definition.
(Scottish singer born 1948)
'blur's inside repeatedly' is the wordplay.
'inside' indicates the central letters.
'repeatedly' says to double the letters.
The middle of 'blur' is 'lu'.
'lu' doubled is 'LULU'.
'from' is the link.
(Other definitions for lulu that I've seen before include "Outstanding person; singer" , "wonderful thing" , "Berg's unfinished opera" , "Berg opera; outstanding thing (colloq.)" , "Glaswegian 60s pop singer" .)