Become aware of a possibly weak point (6)
I believe the answer is:
awaken
'become aware of' is the definition.
(thesaurus)
'a possibly weak point' is the wordplay.
'possibly' indicates an anagram.
'point' becomes 'n' (N is an example).
'weak' is an anagram of 'wake'.
'a'+'wake'+'n'='AWAKEN'
(Other definitions for awaken that I've seen before include "Rouse from sleep" , "Cause to remember" , "Arouse" , "Call forth" , "Stop sleeping" .)