Flying Perseids scatter (8)
I believe the answer is:
disperse
'scatter' is the definition.
('disperse' can be a synonym of 'scatter')
'flying perseids' is the wordplay.
'flying' indicates an anagram.
'perseids' with letters rearranged gives 'DISPERSE'.
(Other definitions for disperse that I've seen before include "Presides so as to scatter" , "Scatter in all directions" , "'Break up, spread out (8)'" , "Scatter, disseminate" , "Spread widely" .)