Continue tediously, knowing it’s a predatory insect (9)
I believe the answer is:
dragonfly
'a predatory insect' is the definition.
(dragonflies are predatory)
'continue tediously knowing' is the wordplay.
'continue tediously' becomes 'dragon' (I've seen this in another clue).
'knowing' becomes 'fly'.
'dragon'+'fly'='DRAGONFLY'
'it's' acts as a link.
(Other definitions for dragonfly that I've seen before include "Large winged insect" , "it wings along" , "Insect with two pairs of transparent wings" , "Large hovering insect" , "creature!" .)