Insecure title oddly held by right-winger (7)
I believe the answer is:
tottery
'insecure' is the definition.
(thesaurus)
'title oddly held by right-winger' is the wordplay.
'oddly' indicates alternate letters.
'held by' indicates putting letters inside.
'right-winger' becomes 'tory' (Tory is an example).
The alternate letters of 'title' are 'tte'.
'tte' inserted inside 'tory' is 'TOTTERY'.
(Other definitions for tottery that I've seen before include "rocking" , "Unstable on one's feet" , "Likely to rock" , "Unsteady (on one's feet)" , "Frail" .)