Susan Stranks on vacation admitting small amount of fame (7)
I believe the answer is:
'fame' is the definition.
(I've seen this in another clue)
'susan stranks on vacation admitting small amount' is the wordplay.
'susan' becomes 'sue' (short for Susan).
'on vacation' means to remove the middle letters (after the inside letters have vacated the word).
'admitting' means one lot of letters goes inside another (admit can mean to welcome in or accept).
'small amount' becomes 'cc' ().
'stranks' with its middle taken out is 'ss'.
'suess' placed around 'cc' is 'SUCCESS'.
'of' is the link.
(Other definitions for success that I've seen before include "A win" , "Accomplishment of a goal" , "Achievement of one's aim" , "Positive result; celebrity" , "The attainment of fame or wealth" .)