A name came up (5)
I believe the answer is:
arose
'came up' is the definition.
(I've seen this before)
'a name' is the wordplay.
'name' becomes 'rose' ().
'a'+'rose'='AROSE'
(Other definitions for arose that I've seen before include "Came about" , "Sprang up" , "''. ... by any other name would smell as sweet'' (Romeo and Juliet)" , "appeared" , "Became apparent" .)