Seeking a full time Queen (5)
I believe the answer is:
after
'seeking' is the definition.
(I've seen this in another clue)
'a full time queen' is the wordplay.
'a full time' becomes 'aft' (I am not sure about this - if you are sure you should believe this answer much more).
'queen' becomes 'ER' (short for Elizabeth Regina ie Queen Elizabeth).
'aft'+'er'='AFTER'
Can you help me to learn more?
(Other definitions for after that I've seen before include "Following - behind" , "Pursuing" , "Following, consequent to" , "Post, later than" , "In pursuit of, behind" .)