Trump initially seen dithering about start of narcissistic visit to state (9)
I believe the answer is:
tennessee
'to state' is the definition.
(Tennessee is an example)
'trump initially seen dithering about start of narcissistic visit' is the wordplay.
'initially' says to take the initial letters.
'dithering' indicates anagramming the letters.
'about' indicates putting letters inside.
'start of' indicates taking the first letters.
'visit' becomes 'see' (seeing is a kind of visiting).
The initial letter of 'trump' is 't'.
The initial letter of 'narcissistic' is 'n'.
'seen' is an anagram of 'enes'.
'enes' enclosing 'n' is 'ennes'.
't'+'ennes'+'see'='TENNESSEE'
(Other definitions for tennessee that I've seen before include "Teen sense observed in American state" , "Name of US dramatist" , "Southern US state" , "Seen teens in this US state" , "State of south-east US" .)