Bloomer having neat edge (5)
I believe the answer is:
oxlip
'bloomer' is the definition.
(I have seen 'A bloomer' mean 'oxlip' so perhaps 'bloomer' could also mean 'oxlip')
'neat edge' is the wordplay.
'neat' becomes 'ox' (I've seen this in other clues).
'edge' becomes 'lip' (lip is a kind of edge).
'ox'+'lip'='OXLIP'
'having' is the link.
(Other definitions for oxlip that I've seen before include "Eurasian primrose with yellow flowers" , "Flowery name" , "Woodland primula" , "Flower of the primrose family" , "Kind of yellow primrose" .)