Strictly routine is one making others go to work on an egg, severally (5,4)
I believe the answer is:
bossa nova
'strictly routine' is the definition.
(routine on Strictly Come Dancing)
'one making others go to work on an egg severally' is the wordplay.
'one making others go to work' becomes 'boss'.
'on' is a charade indicator (letters next to each other).
'egg severally' becomes 'ova' (term for several eggs).
'boss'+'an'+'ova'='BOSSA NOVA'
'is' is the link.
(Other definitions for bossa nova that I've seen before include "Brazil's measure" , "Dance from Brazil similar to samba" , "lively dance" , "(Music for) a Brazilian dance" , "steps taken" .)