Rise for a small change (6)
I believe the answer is:
ascent
'rise' is the definition.
(synonyms)
'a small change' is the wordplay.
'small' becomes 's' (abbreviation - e.g. clothes size).
'change' becomes 'cent' (I have seen 'Small change' mean 'cent' so perhaps 'change' could also mean 'cent').
'a'+'s'+'cent'='ASCENT'
'for' is the link.
(Other definitions for ascent that I've seen before include "Stance (anag)" , "Upward climb" , "Incline" , "(A) climb (up mountain)" , "Upward movement" .)