An eleven dismissed, not half worried (7)
I believe the answer is:
anxious
'half worried' is the definition.
'anxious' can be an answer for 'worried' (I've seen this before). I am not certain of the 'half' bit.
'an eleven dismissed not' is the wordplay.
'eleven' becomes 'xi' (Roman numerals).
'dismissed not' becomes 'ous' (I am not sure about this - if you are sure you should believe this answer much more).
'an'+'xi'+'ous'='ANXIOUS'
Can you help me to learn more?
(Other definitions for anxious that I've seen before include "On edge" , "Fretful, worried" , "Worried, nervous" , "Uneasy, worried" , "Restless" .)