Expand, having succeeded by spring (5)
I believe the answer is:
swell
'expand' is the definition.
(I know that swell is a more specific form of the action expand)
'succeeded by spring' is the wordplay.
'succeeded' becomes 's' (genealogical abbreviation).
'by' means one lot of letters go next to another.
'spring' becomes 'well' (both can mean a source of water).
's'+'well'='SWELL'
'having' acts as a link.
(Other definitions for swell that I've seen before include "Heave of sea; expand" , "marvellous" , "Bulge; a nob" , "Expand - great!" , "Enlarge; sea movement" .)