Turned into an insect, getting around in the morning (6)
I believe the answer is:
became
'turned into' is the definition.
('become' can be a synonym of 'turn into')
'an insect getting around in the morning' is the wordplay.
'an insect' becomes 'bee' (bee is a type of insect).
'getting' indicates putting letters inside.
'around' becomes 'c' (abbreviation for 'circa').
'in the morning' becomes 'am' (short for ante meridiem - before noon).
'c'+'am'='cam'
'bee' going around 'cam' is 'BECAME'.
(Other definitions for became that I've seen before include "Developed into something" , "Got to be" , "Underwent a change" , "Looked good" , "Turned into" .)