Go round and round in flipping boring routine (4)
I believe the answer is:
tour
'go round' is the definition.
(I've seen this before)
'round in flipping boring routine' is the wordplay.
'round' becomes 'o' (o is a circular letter).
'in' indicates putting letters inside.
'flipping' says the letters should be written in reverse.
'boring routine' becomes 'rut' (I've seen this in another clue).
'rut' in reverse letter order is 'tur'.
'o' inserted inside 'tur' is 'TOUR'.
'and' is the link.
(Other definitions for tour that I've seen before include "Rout (anag.)" , "Journey with frequent stops" , "Term of duty" , "Spell of military duty" , "A trip round" .)