Insect flying right to me (5,4)
I believe the answer is:
tiger moth
'insect' is the definition.
(tiger moth is a kind of insect)
'flying right to me' is the wordplay.
'flying' indicates anagramming the letters.
'right'+'to'+'me'='righttome'
'righttome' with letters rearranged gives 'TIGER-MOTH'.
(Other definitions for tiger moth that I've seen before include "producer of woolly bears" , "this one has brightly-coloured wings" , "Insect - aeroplane" , "Plane" , "Spotted flyer" .)