Insect flying right to me (5,4)
'insect' is the definition.
(tiger moth is a kind of insect)
'flying right to me' is the wordplay.
'flying' indicates anagramming the letters.
'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".)