Lacking the potential to be famous (7)
I believe the answer is:
notable
'be famous' is the definition.
(synonyms)
'lacking the potential' is the wordplay.
'lacking' becomes 'no' (eg lacking money means with no money).
'the potential' becomes 'table' (I can't justify this - if you can you should believe this answer much more).
'no'+'table'='NOTABLE'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for notable that I've seen before include "well known" , "Ton bale (anag.)" , "Great" , "Outstanding" , "Worthy of attention, significant" .)